June 2021 Approximation properties of generalized Szasz and Bernstein-Chlodowsky operators
A. N. Mammadova, A. E. Abdullayeva
Tbilisi Math. J. 14(2): 179-192 (June 2021). DOI: 10.32513/tmj/19322008132

Abstract

In the present paper we consider the generalized Bernstein-Chlodowsky polynomial and two variable generalized Szasz operator. For the first operator we obtain convergence property on bounded intervals of positive semi-axis. For the second operator, we obtain direct approximation property on positive semi-axis as estimate of the two variable generalized Szasz operator by two variable weighted modulus of continuity.

Acknowledgment

The authors gratefully thank to the Referee for the useful comments and recommendations which definitely help to improve the readability and quality of the paper.

Citation

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A. N. Mammadova. A. E. Abdullayeva. "Approximation properties of generalized Szasz and Bernstein-Chlodowsky operators." Tbilisi Math. J. 14 (2) 179 - 192, June 2021. https://doi.org/10.32513/tmj/19322008132

Information

Received: 15 October 2019; Accepted: 5 February 2021; Published: June 2021
First available in Project Euclid: 2 July 2021

MathSciNet: MR4298942
zbMATH: 1506.41012
Digital Object Identifier: 10.32513/tmj/19322008132

Subjects:
Primary: 41A10
Secondary: 41A25 , 41A36

Keywords: generalized Bernstein-Chlodowsky polynomial , two variable generalized Szasz operator , weighted modulus of continuity

Rights: Copyright © 2021 Tbilisi Centre for Mathematical Sciences

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Vol.14 • No. 2 • June 2021
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