Düzce Mathematical Research

Düzce Mathematical Research is an international academic journal dedicated to publishing cutting-edge research and innovative theoretical developments in mathematical sciences. DMR seeks to disseminate high-quality studies across various branches of mathematics to a broad audience. In this regard, we welcome papers presenting novel findings, methodologies, and theoretical advancements spanning from pure mathematics to applied mathematics. By offering researchers a platform to publish work that expands the frontiers of mathematical knowledge and fosters interdisciplinary connections, our goal is to advance scientific understanding and progress in the field.

Manuscript Submission

Manuscript submission indicates that the research is original, unpublished, and not under simultaneous consideration by another journal, and that all authors and affiliated institutions have provided consent for its submission. The publisher shall not be held liable for any legal claims or demands arising from the manuscript.

Permissions

Previously published content, including figures, tables, or textual material, may only be included if authors have obtained prior authorization from copyright holders. Such evidence must be submitted with the manuscript. Without this evidence, the content will be considered original to the authors.

Online Submission

Manuscript submissions must be made through the 'Submit a Manuscript' link (right sidebar). Ensure that all files are uploaded in accordance with the system’s instructions.

Title Page

The title page must contain the following elements:

Full names of all contributing authors
A concise, informative title reflecting the content
Institutional affiliations and mailing addresses for all authors
ORCID identifiers for all authors

Abstract

The abstract should be a clear and concise summary of the manuscript, limited to 400 words. It should state the purpose of the study, outline the approach or methodology used, summarize the key findings, and present the main conclusions. The abstract should be written in the third person and should not cite any references, figures, tables, or specific sections of the article.

Keywords

To assist in classifying and discovering your work, please include 4 to 6 keywords that best represent the core subjects of your study.

Text Formatting

Initial submissions must be uploaded as PDF files. Upon acceptance, authors are required to submit the LaTeX source files prepared using the DMR LaTeX macro package, along with any figure files. To obtain the template, please click the DMR Template file.

Please note that Word or other word processing formats are not accepted.

Headings

Please use a decimal-based heading system, with no more than three levels of subheadings to maintain clarity and structure.

Abbreviations

Any abbreviations should be defined the first time in the manuscript and used consistently throughout.

Acknowledgments

Please place all acknowledgments (to individuals, institutions, or funders) in a designated section on the title page. Funding organizations should be cited by their complete formal names (no acronyms or abbreviations).

Reference List

The reference list must contain only works that are cited in the text and have been formally published or accepted for publication. Personal communications and unpublished materials may be cited parenthetically in the text but should not appear in the references. Footnotes or endnotes may not be used in place of proper references. The reference list should be arranged alphabetically by the surname of the first author.

Journal Article

N. Azzouz, B. Benaissa, H. Budak , İ. Demir (2025), Hermite-Hadamard-Mercer type inequalities for fractional integrals: A study with h-convexity and \Psi-Hilfer operators, Bound. Value Probl., 2025, 14. https://doi.org/10.1186/s13661-025-02001-1

Book

J.E. Pecaric, F. Proschan, Y.L. Tong, Convex functions, partial orderings and statistical applications, Academic Press, Boston, 1992.

PhD Thesis

H. Kara, Generalized Hermite-Hadamard type inequalities for interval-valued functions, Ph.D. thesis, Düzce University, 2024.

Conference Proceeding

H. Kara, H. Budak, F. Hezenci (2023), On new improvements of Hermite-Hadamard inclusions through interval-valued convex functions, 6th International Conference on Mathematical and Related Sciences
(ICMRS 2023), 76-84.

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

Please provide a suitable number of MSC codes to facilitate the classification of your manuscript within the Mathematical Reviews and Zentralblatt MATH databases, see www.ams.org/msc

Publication Charge

There is no publication charge.

The Düzce Mathematical Research (DMR) journal adheres to the highest standards of publication ethics. We follow the principles and flowcharts provided by the Committee on Publication Ethics (COPE) and expect all stakeholders involved in the publishing process to act with integrity, transparency, and professionalism.

1. General Ethical Commitment

DMR is dedicated to supporting the dissemination of high-quality, original research in the field of mathematics. All participants “authors, reviewers, and editors” must uphold rigorous ethical and scholarly standards at all times. 2. Authorship and Contributions Auth

DMR is dedicated to supporting the dissemination of high-quality, original research in the field of mathematics. All participants “authors, reviewers, and editors” must uphold rigorous ethical and scholarly standards at all times.

2. Authorship and Contributions

Auth

orship should be limited to individuals who have made a substantial scholarly contribution to the design, execution, analysis, or interpretation of the research. All co-authors must approve the final manuscript and consent to its submission.
Requests for changes in authorship after submission must be formally justified and signed by all listed authors.

3. Conflicts of Interest

All parties involved in the editorial and publication process must disclose any actual or potential conflicts of interest, financial or otherwise, that could influence the integrity of the research.
Such disclosures must be provided upon submission and updated as needed throughout the review process.

4. Plagiarism and Originality

Submitted manuscripts must be original and must not have been published or submitted elsewhere. Plagiarism, including self-plagiarism, is strictly prohibited.
To ensure originality, DMR uses similarity detection software such as iThenticate and Turnitin. Manuscripts with a total similarity index above 30% (excluding references) will be returned for revision or rejected outright.

5. Research Data and Reproducibility

Authors are encouraged to provide access to the data, code, or supplementary material supporting their findings to ensure transparency and reproducibility.
A data availability statement should be included in the manuscript. Where applicable, datasets and materials should be cited and listed in the references section.

6. Review Process

DMR implements a single-blind peer review process. While reviewers remain anonymous, author identities are visible to reviewers. Reviews are conducted fairly and objectively, and personal bias must be avoided.

7. Use of AI Tools

Authors are fully responsible for the content produced by or with the aid of artificial intelligence tools. Any such use must be clearly disclosed in the manuscript.

8. Ethical Approval for Human and Animal Research

Research involving human participants, animals, or sensitive data must be conducted in accordance with ethical standards.
The manuscript must include:
• The name of the ethics committee,
• The approval date and reference number,
• A statement of informed consent (where relevant).

9. Handling of Misconduct and Ethical Breaches

DMR follows COPE's flowcharts to handle allegations of:
• Plagiarism
• Data falsification or fabrication
• Redundant or duplicate publication
• Undisclosed conflicts of interest
• Inappropriate authorship
Confirmed violations may result in rejection, retraction, or formal notification of the authors’ institution.

10. Corrections, Retractions, and Expressions of Concern

• Corrections are issued for minor errors that do not affect the study’s integrity.
• Retractions are published when serious misconduct or major errors are identified.
• Expressions of concern may be issued if misconduct is suspected but evidence is inconclusive.
All actions are guided by COPE’s retraction guidelines.

11. Special Issues and Conference Proceedings

DMR may publish special issues focused on specific themes or conference outputs. All submissions undergo the same rigorous peer review and editorial process as regular issues.

12. Complaints and Appeals

Authors and reviewers may submit complaints or appeals to the editorial team. All concerns are handled fairly and confidentially by the Editor-in-Chief and, when necessary, in consultation with the Editorial Board. For any complaints, please contact: dmrdergi@duzce.edu.tr

Disclaimer

The views expressed in published articles are those of the authors and do not necessarily reflect the opinions of the editorial team or publisher. The editorial team bears no responsibility for the content of individual submissions.

Düzce Mathematical Research is committed to fostering ethical, transparent, and high-quality academic publishing. We continuously align our practices with international standards to ensure trust in the scientific record.