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https://hdl.handle.net/20.500.13091/4999
Title: | Bivariate Bernstein Chlodovsky Operators Preserving Exponential Functions and Their Convergence Properties | Authors: | Acar, Tuncer Bodur, Murat Isikli, Esma |
Keywords: | Bernstein-Chlodovsky operators exponential functions GBS operators mixed modulus of smoothness Peetre's K-functional weighted modulus of continuity Weighted Approximation Theorem |
Publisher: | Taylor & Francis Inc | Abstract: | his paper is devoted to an extension of the bivariate generalized Bernstein-Chlodovsky operators preserving the exponential function exp (2,2) where exp (alpha,beta)=e(-alpha x-beta y),alpha,beta is an element of R-0(+) and x,y >= 0. For these operators, we first examine the weighted approximation properties for continuous functions in the weighted space, and in the latter case, we also obtain the convergence rate for these operators using a weighted modulus of continuity. Then, we investigate the order of approximation regarding local approximation results via Peetre's K-functional. We introduce the GBS (Generalized Boolean Sum) operators of generalized Bernstein-Chlodovsky operators, and we estimate the degree of approximation in terms of the Lipschitz class of B & ouml;gel continuous functions and the mixed modulus of smoothness. Finally, we provide some numerical and graphical examples with different values to demonstrate the rate of convergence of the constructed operators. | URI: | https://doi.org/10.1080/01630563.2023.2297439 https://hdl.handle.net/20.500.13091/4999 |
ISSN: | 0163-0563 1532-2467 |
Appears in Collections: | Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collections WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collections |
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