Convergence analysis of semi-exponential Post-Widder operators

In the present article, we provide a recurrence relation for the semi-exponential Post-Widder operators (1.1) and estimate the moments for these operators. The next section discusses some convergence results in the Lipschitz-type space and estimates the rate of convergence with the help of the Ditzi...

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Bibliographic Details
Main Authors: Sandeep Kumar, Naokant Deo
Format: Article
Language:English
Published: Miskolc University Press 2025-01-01
Series:Miskolc Mathematical Notes
Online Access:http://mat76.mat.uni-miskolc.hu/mnotes/article/4600
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Summary:In the present article, we provide a recurrence relation for the semi-exponential Post-Widder operators (1.1) and estimate the moments for these operators. The next section discusses some convergence results in the Lipschitz-type space and estimates the rate of convergence with the help of the Ditzian-Totik modulus of smoothness and weighted modulus of continuity. At last, we estimate the rate of convergence for the functions whose derivatives are of bounded variation.
ISSN:1787-2405
1787-2413