December 15, 2025
Page
176-186
Volume
8
,
Number
4
Dec 15, 2025
5
Article
Publication Type
Articles
Research Article
Research Article
A combinatorial formula for recursive operator sequences and applications
December 15, 2025
Page
200-216
December 15, 2025
Page
200-216
Constructive Mathematical Analysis is an international quarterly journal, publishing significant research papers from all branches of Analysis and Functions Theory. It provides authoritative reviews of current developments in mathematical analysis research. Contributions are invited from researchers from all over the world.
Topics covered by Constructive Mathematical Analysis include (but are not limited to): Real analysis, Complex analysis, Potential theory, Special functions and their applications, Matrix analysis, Approximations and expansions, Harmonic analysis, Fourier analysis, Integral transforms-operational calculus, Functional analysis, Operator theory, Miscellaneous applications of functional analysis, Convex and geometric analysis, Stochastic analysis, Numerical analysis.
Manuscript Submission
Submission of a manuscript implies: that the work described has not been published before; that it is not under consideration for publication anywhere else; that its publication has been approved by all co-authors, if any, as well as by the responsible authorities – tacitly or explicitly – at the institute where the work has been carried out. The publisher will not be held legally responsible should there be any claims for compensation.
Permissions
Authors wishing to include figures, tables, or text passages that have already been published elsewhere, photograph/personal data are required to obtain permission from the copyright owner(s) for both the print and online format and to include evidence that such permission has been granted when submitting their papers. Any material received without such evidence will be assumed to originate from the authors.
Online Submission
Please follow the hyperlink “Submit Article” on the right and upload all of your manuscript files following the instructions given on the screen.
Title Page and Contact Information
The title page should include:
- The name(s) of the author(s)
- A concise and informative title
- The AMS 2020 Mathematics Subject Classification Code(s)
- The e-mail address of the corresponding author
and the following informations should be given at the last page:
- The affiliation(s) and address(es) of the author(s)
- If available, the 16-digit ORCID of the author(s)
Abstract
Please provide an abstract of 150 to 250 words. The abstract should not contain any undefined abbreviations or unspecified references.
Keywords
Please provide 4 to 6 keywords which can be used for indexing purposes.
Text Formatting
Manuscripts should be submitted in LaTeX. Please use Constructive Mathematical Analysis LaTeX macro package.
The submission should include the original source (including all style files and figures) and a PDF version of the compiled output.
Word files are not accepted.
If you have problem creating .sty file please download all the required files in one file zipped through the link.
Copyright
The author(s) retains unrestricted copyrights and publishing rights.
By submitting their work to the journal, the authors are deemed to have accepted the following conditions.
1. The copyright of the published article belongs to its author under CC BY-NC 4.0 license.
2. The authors authorize Constructive Mathematical Analysis to publish the article and identify itself as the original publisher.
3. The authors grant the right to freely use the article to any third party as long as the original authors and citation details are identified.
4. Nothing in this license impairs or restricts an author's right to preserve the integrity and ownership of their work.
5. All commercial rights related to the article belong to the authors.
Headings
Please use the decimal system of headings with no more than three levels.
Abbreviations
Abbreviations should be defined at first mention and used consistently thereafter.
Acknowledgments
Acknowledgments of people, grants, funds, etc. should be placed in a separate section on the title page. The names of funding organizations should be written in full.
Reference list
The list of references should only include works that are cited in the text and that have been published or accepted for publication. Personal communications and unpublished works should only be mentioned in the text. Do not use footnotes or endnotes as a substitute for a reference list.
Reference list entries should be alphabetized by the last names of the first author of each work.
Name of the all journals must be given according to AMS abbreviations of names of serials in abbreviation format.
Journal article
[1] T. Acar, A. Aral and I. Raşa: The new forms of Voronovskaya's theorems in weighted spaces, Positivity, 20 (1) (2016), 25-40.
Conference
[2] F. Altomare, V. Leonessa and S. Milella: Continuous selections of Borel Measures and Bernstein-Schnabl operators, Proceedings of the International Conference on Numerical Analysis and Approximation Theory NAAT2006, Cluj-Napoca (Romania) (2007), 1-27.
Book
[3] A. Aral, V. Gupta and R. P. Agarwal: Applications of q-calculus in operator theory, Springer, New York (2013).
Tables
· All tables are to be numbered using Arabic numerals.
· Tables should always be cited in text in consecutive numerical order.
· For each table, please supply a table caption (title) explaining the components of the table.
· Identify any previously published material by giving the original source in the form of a reference at the end of the table caption.
· Footnotes to tables should be indicated by superscript lower-case letters (or asterisks for significance values and other statistical data) and included beneath the table body.
Classification code
An appropriate number of MSC codes should be provided. The Mathematics Subject Classification (MSC) is used to categorize items covered by the two reviewing databases, Mathematical Reviews and Zentralblatt MATH, see
English Language editing
For editors and reviewers to accurately assess the work presented in your manuscript, you need to ensure the English language is of sufficient quality to be understood. If you need help with writing in English, you should consider:
- Asking a colleague who is a native English speaker to review your manuscript for clarity.
- Visiting the English language tutorial which covers the common mistakes when writing in English.
- Using a professional language editing service where editors will improve the English to ensure that your meaning is clear and identify problems that require your review.
Publication Charge
There is no publication charge.
Similarity Rate Policy
The overall similarity index percentage must be below 30%. If the similarity is over 30%, such papers have restricted originality. For this reason, the submission cannot be published in CMA.
Publication Ethics, Malpractice Statement and Publication Policy
The Constructive Mathematical Analysis (Constr. Math. Anal.) is a peer-reviewed, Open Access journal that provides an advanced forum for studies related to Mathematics/Analysis and Function theory. All published items, including research articles, have unrestricted access and users are allowed to read, download, copy, distribute, print, search, or link to the full texts of the articles in this journal without asking prior permission from the publisher or the author.
Editorial Board takes its duties of guardianship over all stages of publishing extremely seriously and we recognize our ethical and other responsibilities.
The editorial board pursue the best practice guidelines of the Committee on Publication Ethics (COPE). To guaranty the integrity of the published papers, Constructive Mathematical Analysis editors are guided for using COPE’s flowcharts whenever they suspect an ethical issue about the paper they process. The authors, reviewers, editors and owner of the journal are expected to strictly committed to ensuring the policy of publication ethics and malpractice, and respect to the following statements:
Authors
Papers submitted to Constructive Mathematical Analysis must be original and adhere to a high scientific and technical standard. The authors are expected to strictly follow the policy of publication ethics and malpractice.
Copyright
Constructive Mathematical Analysis is a free open access journal licensed under the Creative Commons Attribution License (CC BY 4.0). Thus, the authors accept the following conditions:
Authors retain copyright and grant the journal right of first publication, with the work simultaneously licensed under a Creative Commons Attribution License (CC BY 4.0) that allows others to share the work with an acknowledgement of its authorship and initial publication in this journal.
Authors grant Constructive Mathematical Analysis to publish the article and identify itself as the original publisher.
Authors also grant any third party the right to use the article freely as long as its integrity is maintained and its original authors, citation details and publisher are identified.
Authorship
It is a fundamental condition that articles submitted to Constructive Mathematical Analysis have not been previously published and will not be simultaneously submitted or published elsewhere. After the manuscript has been accepted for publication, the author will not be permitted to make any new additions to the manuscript.
Before publication the galley proof is always sent to the author for correction. Thus it is solely the author's responsibility for any typographical mistakes which occur in their article as it appears in the Journal. The contents of the manuscript published in the Constructive Mathematical Analysis are the sole responsibility of the authors. Authors should not post their submitted work online in any sense, before or during the submission process, as this may cause nomenclatural problems.
With the submission of the manuscript authors declare that:
All authors of the submitted research paper have directly participated in the planning, execution, or analysis of study;
All authors of the paper have read and approved the final version submitted;
The contents of the manuscript have not been submitted, copyrighted or published elsewhere and the visual-graphical materials such as photograph, drawing, picture, and document within the article do not have any copyright issue;
The contents of the manuscript will not be copyrighted, submitted, or published elsewhere, while acceptance by the Journal is under consideration;
Authors are expected to keep accurate records of the data and to have ethical attitude on processing data since intentional manipulation of dataset to fit the desired results will be considered as fraud. Graphics/Illustrations used to present data can only be manipulated to clarify the graphics. If so, the author must ensure that the manipulation does not lead to loss or misinterpretation of data. Techniques used to clarify images must be described in the caption part of the graphic/illustration;
They can not submit a manuscript if they already have a manuscript in process.
Plagiarism and self-plagiarism
Plagiarism is unacceptable and any suspicion of plagiarism will be investigated by the editorial team. The article must be clean in terms of ‘plagiarism’, and the legal and ethical responsibility of the article belong to the author. Duplication of authors’ previous works (self-plagiarism) should also be avoided, or if necessary, it should be reported transparently and be fully cited in the publication itself.
The objectivity and transparency in research, and the principles of ethical and professional conduct have been followed. Authors must cite appropriate and relevant literature in support of the results presented in their manuscript. Authors who already published papers on the same topic are expected to include citation of these papers, but they are expected to avoid excessive and inappropriate self-citation.
There is no page limitation for the papers. That is why, data and results gathered in the same framework should not be broken up into smaller publishable units. The authors are expected to publish their results obtained in a single framework as a unique and original publication.
Conflicts of Interest
There is a conflict of interest when someone is influenced in his/her choices or actions by a personal or financial interest such as recommendation of a reviewer, an editor’s decision or interpretation of a result by an author. In this case, every suspicion of a conflict of interest should be reported to the editorial team of Constructive Mathematical Analysis.
Authors should declare that they have no potential conflict of interest (financial or non-financial). If any, Authors must declare all potential interests in a ‘Conflicts of interest’ section, which should explain why the interest may be a conflict. Declared conflicts of interest will be considered by the editor and reviewers and included in the published article. If conflicts of interest are found after publication, this may be embarrassing for the authors, the Editor and the journal. It may be necessary to publish a corrigendum or reassess the review process.
License Agreement of the Authors
In submitting an article to the journal of Constructive Mathematical Analysis, The Author/Corresponding Author certify that:
He/She is authorized by his/her co-authors to enter into these arrangements.
He/She warrants, on behalf of himself/herself and his/her co-authors, that:
the article is original, has not been formally published in any other peer-reviewed journal, is not under consideration by any other journal and does not infringe any existing copyright or any other third party rights;
He/She (and co-authors) is(are) the sole author(s) of the article and have full authority to enter into this agreement and in granting rights to Constructive Mathematical Analysis are not in breach of any other obligation;
The article contains nothing that is unlawful, libelous, or which would, if published, constitute a breach of contract or of confidence or of commitment given to secrecy;
He/She (and co-authors) has(have) taken due care to ensure the integrity of the article. To his/her/their - and currently accepted scientific - knowledge all statements contained in the article claiming to be facts are true and any formula or instruction contained in the article will not, if followed accurately, cause any injury, illness or damage to the user.
Article-processing charges
The publication costs for Constructive Mathematical Analysis are covered by the journal, so authors do not need to pay an article-processing and submission charges. The PDF copies of accepted papers are free of charges, and can be downloaded from the website https://dergipark.org.tr/en/pub/cma
Manuscript
Manuscripts should be typeset using the LATEX typesetting system. Authors should prepare the article using the CMA style before submission to the editor via our submission system. A template of manuscript can be downloaded in tex form from the link https://dergipark.org.tr/tr/download/journal-file/20670. After the acceptance of manuscripts for publication, we will ask you to submit the TeX form of the manuscript prepared in accordance with the style of the Journal. Authors are required to submit their Open Researcher and Contributor ID (ORCID)’s which can be obtained from http://orcid.org as their URL address in the format http://orcid.org/xxxx-xxxx-xxxx-xxxx.
Acknowledgements should be given as short as possible at the end of the text. Formulas should be numbered consecutively in parentheses ( ) and each manuscript should be accompanied by classification numbers from the American Mathematical Society's 2020 classification scheme.
Manuscripts should be submitted in the PDF form together with THE COPYRIGHT FORM. While submitting a manuscript, the authors agree that the copyright for their article is transferred to the publisher, if and when, the paper is accepted for publication.
It is a fundamental condition that articles submitted to Constructive Mathematical Analysis have not been previously published and will not be simultaneously submitted or published elsewhere. After the manuscript has been accepted for publication, the author will not be permitted to make any new additions to the manuscript.
Before publication, the galley proof is always sent to the author for correction. Thus it is solely the author's responsibility for any typographical mistakes which occur in their article as it appears in the Journal. The contents of the manuscript published in the Constructive Mathematical Analysis are the sole responsibility of the authors. When author discovers a significant error or inaccuracy in his/her own published work, it is the author’s obligation to promptly notify the journal editor or publisher and cooperate with the editor to retract or correct the paper. If the editor or the publisher learns from a third party that a published work contains a significant error, it is the obligation of the author to promptly retract or correct the paper or provide evidence to the editor of the correctness of the original paper.
When errors are identified in published articles, the publisher team of Constructive Mathematical Analysis will consider what action is required and may consult the editors and the authors’ institution(s). Errors by the authors may be corrected by a corrigendum and errors by the publisher by an erratum. If there are errors that significantly affect the conclusions or there is evidence of misconduct, this may require retraction or an expression of concern following the COPE Retraction Guidelines.
Article Processing Time
Two months are given to the reviewers for the evaluation of the paper. Total processing time of a paper ended up between three to six month, in general.
Editors
Constructive Mathematical Analysis accepts original research articles written in English in the fields of Mathematics and Statistics. The editor-in-chief makes the final decision of acceptance or rejection, based on the reviewers’ reports and the recommendation of the field editor in charge of the review process. If there is any conflict of interest between an editor and an author, the editor in question will not be involved in the review and the decision processes.
The “Submission/Managing System” which is used for manuscript submission/processing in Constructive Mathematical Analysis uses a single-blind peer reviewed system that hidden the reviewers’ comments to authors. Reviewers can also send attached files that can be communicated to the author with the reviewer’s name anonymized.
The names, affiliations and email addresses entered in our journal site will be used exclusively for the stated purposes of this journal and will not be made available for any other purpose or to any other party.
Every suspicion of ethical issues will be investigated by the journal. Any suspicious case on ethical issues, misconduct or conflict of interest can be reported to the editor-in-chief or the field editor who conduct the investigation. Editorial Board and reviewers/authors are encouraged for their opinion for the treatment of ethical issues. In the case of the involvement of other journals, editor-in-chief will contact the journal to make a common decision if possible.
In the case of plagiarism, the retraction of a publication can be decided. The readers and all persons involved in the decision and publication process of the article and employer of the incriminated author (or reviewer) works will be notified.
Editors should decline to be involved with a submission when they have a financial interest, a recent publication, current submission, a collaboration, close personal connection with any author of submission. Editors must also declare if they have previously discussed the manuscript with the authors.
The AMS Subject Classification Codes are rigorously followed by our editors.
Reviewers
Following Pre-Review process handled by Managing Editor, Manuscripts which conform to journal scope and style will be sent to at least two reviewers by the Field Editor, who will then act as the coordinating editor.
Constructive Mathematical Analysis applies single-blind peer review, which means that reviewers remain anonymous by default. But, if reviewers want their names to be communicated to the author, then Field Editor will allow it.
The reviewers are expected to evaluate the paper in an objective manner. Reviewers are expected to inform the Field Editor for potential conflict of interest and they should decline to be involved with a submission when they have a financial interest, a recent publication, current submission, a collaboration, close personal connection with any author of submission. Reviewers must also declare if they have previously discussed the manuscript with the authors.
Confidentiality of the manuscripts they are reviewing should be maintained. Potential reviewers who decline to review a paper are encouraged to state the declining reason.
There is no article processing charges or submission fee for any submitted or accepted articles.
Citation Indexes
Other Indexes
Editor in Chief
TA
Prof. Dr.
Tuncer ACAR
SELCUK UNIVERSITY, FACULTY OF SCIENCE
Operator Algebras and Functional Analysis, Approximation Theory and Asymptotic Methods
Managing Editors
FÖ
Asst. Prof. Dr.
Fırat ÖZSARAÇ
KIRIKKALE UNIVERSITY
Mathematical Sciences, Operator Algebras and Functional Analysis
MT
Dr.
Metin TURGAY
SELCUK UNIVERSITY
Image Processing, Operator Algebras and Functional Analysis, Approximation Theory and Asymptotic Methods
Editorial Board
PM
Prof. Dr.
Peter MASSOPUST
Technical University of Munich
Lie Groups, Harmonic and Fourier Analysis, Approximation Theory and Asymptotic Methods
MK
HK
Prof. Dr.
Harun KARSLI
BOLU ABANT IZZET BAYSAL UNIVERSITY
Mathematical Sciences, Operator Algebras and Functional Analysis, Approximation Theory and Asymptotic Methods
BD
Prof. Dr.
Borislav DRAGANOV
Sofia University "St. Kliment Ohridski"
Real and Complex Functions (Incl. Several Variables), Approximation Theory and Asymptotic Methods
LP
Prof. Dr.
Lars Erik PERSSON
UiT The Artic University of Norway
Mathematical Sciences, Lie Groups, Harmonic and Fourier Analysis
FW
Prof. Dr.
Ferenc WEISZ
Eötvös Loránd University
Operator Algebras and Functional Analysis, Lie Groups, Harmonic and Fourier Analysis
DO
Prof. Dr.
Donal O'REGAN
National University of Ireland
Ordinary Differential Equations, Difference Equations and Dynamical Systems
FD
AA
SR
Prof. Dr.
Salvador ROMAGUERA
Universitat Politecnica de Valencia
Operator Algebras and Functional Analysis, Topology
IR
PK
Prof. Dr.
Poom KUMAM
King Mongkut's University of Technology Thonburi
Numerical Solution of Differential and Integral Equations, Mathematical Optimisation, Numerical and Computational Mathematics (Other), Applied Mathematics (Other)
RC
FA
Prof. Dr.
Francesco ALTOMARE
Università degli Studi di Bari
Approximation Theory and Asymptotic Methods, Pure Mathematics (Other)
DL
YS
Prof. Dr.
Yoshihiro SAWANO
Chuo University
Physical Sciences, Real and Complex Functions (Incl. Several Variables)
GL
Prof. Dr.
Guozhen LU
University of Connecticut
Lie Groups, Harmonic and Fourier Analysis, Partial Differential Equations
GV
Layout & Language Editor
SK
Asst. Prof. Dr.
Sadettin KURSUN
IZMIR KATIP CELEBI UNIVERSITY
Operator Algebras and Functional Analysis, Approximation Theory and Asymptotic Methods, Mathematical Physics (Other)
