Positive Linear Operators Preserving $\tau $ and $\tau ^{2}$

Tuncer Acar; Ali Aral; Ioan Raşa

doi:10.33205/cma.547221

EN

Positive Linear Operators Preserving $\tau $ and $\tau ^{2}$

Abstract

In the paper we introduce a general class of linear positive approximation processes defined on bounded and unbounded intervals designed using an appropriate function. Voronovskaya type theorems are given for these new constructions. Some examples including well known operators are presented.

Keywords

Generalized operators,Voronovskaya theorem

References

[1] T. Acar, A. Aral, I. Raşa, Modified Bernstein-Durrmeyer operators, General Mathematics, 22 (1), 2014, 27-41.
[2] A. Aral, D. Inoan, I. Raşa, On the generalized Szasz-Mirakyan Operators, Results in Mathematics, 65(3-4), 2014, 441–452.
[3] D. Cárdenas-Morales, P. Garrancho, F. J. Munoz-Delgado, Shape preserving approximation by Bernstein-Type op- erators which fix polynomials, Appl. Math. Comp. 182, 2006, 1615-1622.
[4] D. Cárdenas-Morales, P. Garrancho, I. Raşa, Asymptotic formulae via Korovkin-type result, Abstract and Applied Analysis, vol. 2012, Article ID 217464, 12 pages, 2012. https://doi.org/10.1155/2012/217464.
[5] D. Cárdenas-Morales, P. Garrancho ,I. Raşa, Bernstein-type operators which preserve polynomials, Computers and Mathematics with Applications 62, 2011, 158–163.
[6] J. P. King, Positive linear operators which preserve x2, Acta. Math. Hungar., 99, 2003, 203–208

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Tuncer Acar
Türkiye

Ali Aral ^*
0000-0002-2024-8607
Türkiye

Ioan Raşa This is me
Romania

Publication Date

September 1, 2019

Submission Date

March 31, 2019

Acceptance Date

May 21, 2019

Published in Issue

Year 2019 Volume: 2 Number: 3

DOI

https://doi.org/10.33205/cma.547221

IZ

https://izlik.org/JA46MH46NJ

Cite

RIS / Bibtex

APA

Acar, T., Aral, A., & Raşa, I. (2019). Positive Linear Operators Preserving $\tau $ and $\tau ^{2}$. Constructive Mathematical Analysis, 2(3), 98-102. https://doi.org/10.33205/cma.547221

AMA

1.Acar T, Aral A, Raşa I. Positive Linear Operators Preserving $\tau $ and $\tau ^{2}$. CMA. 2019;2(3):98-102. doi:10.33205/cma.547221

Chicago

Acar, Tuncer, Ali Aral, and Ioan Raşa. 2019. “Positive Linear Operators Preserving $\tau $ and $\tau ^{2}$”. Constructive Mathematical Analysis 2 (3): 98-102. https://doi.org/10.33205/cma.547221.

EndNote

Acar T, Aral A, Raşa I (September 1, 2019) Positive Linear Operators Preserving $\tau $ and $\tau ^{2}$. Constructive Mathematical Analysis 2 3 98–102.

IEEE

[1]T. Acar, A. Aral, and I. Raşa, “Positive Linear Operators Preserving $\tau $ and $\tau ^{2}$”, CMA, vol. 2, no. 3, pp. 98–102, Sept. 2019, doi: 10.33205/cma.547221.

ISNAD

Acar, Tuncer - Aral, Ali - Raşa, Ioan. “Positive Linear Operators Preserving $\tau $ and $\tau ^{2}$”. Constructive Mathematical Analysis 2/3 (September 1, 2019): 98-102. https://doi.org/10.33205/cma.547221.

JAMA

1.Acar T, Aral A, Raşa I. Positive Linear Operators Preserving $\tau $ and $\tau ^{2}$. CMA. 2019;2:98–102.

MLA

Acar, Tuncer, et al. “Positive Linear Operators Preserving $\tau $ and $\tau ^{2}$”. Constructive Mathematical Analysis, vol. 2, no. 3, Sept. 2019, pp. 98-102, doi:10.33205/cma.547221.

Vancouver

1.Tuncer Acar, Ali Aral, Ioan Raşa. Positive Linear Operators Preserving $\tau $ and $\tau ^{2}$. CMA. 2019 Sep. 1;2(3):98-102. doi:10.33205/cma.547221

Positive Linear Operators Preserving $\tau $ and $\tau ^{2}$

Abstract

Positive Linear Operators Preserving $\tau $ and $\tau ^{2}$

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

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