A Generalization of Sz$\acute{a}$sz-Baskakov Operators Including Euler Polynomials

In this paper, we generalize the Sz$\acute{a}$sz-Baskakov operators using Euler polynomials. First, we obtain the rate of convergence for our new operators, followed by some approximation findings. Finally, Voronovskaya's theorem and error table are presented.

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Journal
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
Published
2026-03-29
DOI
https://doi.org/10.31801/cfsuasmas.1571854
Primary Topic
Approximation Theory and Sequence Spaces
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article
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article

A Generalization of Sz$\acute{a}$sz-Baskakov Operators Including Euler Polynomials

Kadir Kanat, Nilüfer Piliç, Melek Sofyalıoğlu Aksoy
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
Approximation Theory and Sequence Spaces
article

A Generalization of Sz$\acute{a}$sz-Baskakov Operators Including Euler Polynomials

Kadir Kanat, Nilüfer Piliç, Melek Sofyalıoğlu Aksoy
article en

Abstract

In this paper, we generalize the Sz$\acute{a}$sz-Baskakov operators using Euler polynomials. First, we obtain the rate of convergence for our new operators, followed by some approximation findings. Finally, Voronovskaya's theorem and error table are presented.

Communications Faculty Of Science University of Ankara Series A1Mathematics and StatisticsVol. 75(1)
Ankara Hacı Bayram Veli University (TR)
Reduced inequalities
Openalex Percentile: Top 3%
Approximation Theory and Sequence Spaces
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