SzáSz–Durrmeyer Operators and Its Modifications

ABSTRACT The present article provides a combination of the generalized Szász–Mirakyan–Durrmeyer operators and the Abel–Ivan type operators. Their compositions provide us some new operators based on associated Laguerre polynomials and the Touchard‐type polynomials. We find some convergence and difference estimates of such newly defined operators in certain forms of modulus of continuity.

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Publication Details

Journal
Mathematical Methods in the Applied Sciences
Published
2025-11-20
DOI
https://doi.org/10.1002/mma.70321
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
Field-Weighted Citation Impact
0.00
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article

SzáSz–Durrmeyer Operators and Its Modifications

Vijay Gupta, Carmen Violeta Muraru
Mathematical Methods in the Applied Sciences
Approximation Theory and Sequence Spaces
article

SzáSz–Durrmeyer Operators and Its Modifications

Vijay Gupta, Carmen Violeta Muraru
article en

Abstract

ABSTRACT The present article provides a combination of the generalized Szász–Mirakyan–Durrmeyer operators and the Abel–Ivan type operators. Their compositions provide us some new operators based on associated Laguerre polynomials and the Touchard‐type polynomials. We find some convergence and difference estimates of such newly defined operators in certain forms of modulus of continuity.

Mathematical Methods in the Applied SciencesVol. 49(5)
Netaji Subhas University of Technology (IN), University of Bacău (RO)
Openalex Percentile: Top 67%
Approximation Theory and Sequence Spaces
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