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

Tuncer Acar; Ali Aral; Ioan Raşa

doi:10.33205/cma.547221

Research Article

Year 2019, Volume: 2 Issue: 3, 98 - 102, 01.09.2019

Tuncer Acar , Ali Aral , Ioan Raşa

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

Cited By: 11

Abstract

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

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

Year 2019, Volume: 2 Issue: 3, 98 - 102, 01.09.2019

Tuncer Acar , Ali Aral , Ioan Raşa

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

Cited By: 11

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

There are 6 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Articles
Authors	Tuncer Acar Ali Aral 0000-0002-2024-8607 Ioan Raşa This is me
Publication Date	September 1, 2019
Published in Issue	Year 2019 Volume: 2 Issue: 3

Cite

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	Acar T, Aral A, Raşa I. Positive Linear Operators Preserving $\tau $ and $\tau ^{2}$. CMA. September 2019;2(3):98-102. doi:10.33205/cma.547221
Chicago	Acar, Tuncer, Ali Aral, and Ioan Raşa. “Positive Linear Operators Preserving $\tau $ and $\tau ^{2}$”. Constructive Mathematical Analysis 2, no. 3 (September 2019): 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	T. Acar, A. Aral, and I. Raşa, “Positive Linear Operators Preserving $\tau $ and $\tau ^{2}$”, CMA, vol. 2, no. 3, pp. 98–102, 2019, doi: 10.33205/cma.547221.
ISNAD	Acar, Tuncer et al. “Positive Linear Operators Preserving $\tau $ and $\tau ^{2}$”. Constructive Mathematical Analysis 2/3 (September 2019), 98-102. https://doi.org/10.33205/cma.547221.
JAMA	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, 2019, pp. 98-102, doi:10.33205/cma.547221.
Vancouver	Acar T, Aral A, Raşa I. Positive Linear Operators Preserving $\tau $ and $\tau ^{2}$. CMA. 2019;2(3):98-102.