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Abstract

In this paper we introduce a Stancu type extension of the Cheney-Sharma Chlodovsky operators based on the ideas presented by Cătinaș and Buda, Bostanci and Bașcanbaz-Tunca, respectively Söylemez and Tașdelen. For this new operators we study some approximation and convexity properties and the preservation of the Lipschitz constant and order. Finally, we study approximation properties of the new operators with the help of Korovkin type theorems.

Authors

Eduard-Stefan Grigoriciuc
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy
Babes-Bolyai University, Cluj-Napoca, Romania

Keywords

Cheney-Sharma operator; Stancu operator; Bernstein-Chlodovsky polynomials; Korovkin theorem

Paper coordinates

E.-S. Grigoriciuc, A Stancu type extension of the Cheney-Sharma Chlodovsky operators, Journal of Numerical Analysis and Approximation Theory, 53 (2024) no. 1, pp. 103-117, https://doi.org/10.33993/jnaat531-1406

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About this paper

Journal

Journal of Numerical Analysis and Approximation Theory

Publisher Name

Romanian Academy

Print ISSN

2457-6794

Online ISSN

ISSN-E 2501-059X

google scholar link

2024

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