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
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
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