APPROXIMATION BY A COMPOSITION OF APOSTOL-GENOCCHI AND PALTANEA-DURRMEYER OPERATORS
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Published:2024
Issue:4
Volume:48
Page:629-646
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ISSN:1450-9628
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Container-title:Kragujevac Journal of Mathematics
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language:
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Short-container-title:KgJMat
Author:
,MISHRA NAV SHAKTI,DEO NAOKANT,
Abstract
The present paper deals with the Durrmeyer construction of operators based on a class of orthogonal polynomials called Apostol-Genocchi polynomials. For the proposed operators, we first establish a global approximation result followed by its convergence estimate in terms of usual, r-th and weighted modulus of continuity. We further study the asymptotic type results such as the Voronovskaya theorem and quantitative Voronovskaya theorem. Moreover, we estimate the rate of pointwise convergence of the proposed operators for functions of bounded variation defined on the interval (0,∞). Finally, the results are validated through graphical representations and an absolute error table.
Publisher
University Library in Kragujevac
Cited by
1 articles.
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