The rate of convergence of a generalization of Post-Widder operators and Rathore operators

DOI10.1007/s43036-023-00272-yzbMath1530.41012OpenAlexW4378215537MaRDI QIDQ6073340

Ulrich Abel, Vijay Gupta

Publication date: 15 September 2023

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43036-023-00272-y

zbMATH Keywords

rate of convergencefunctions of bounded variationcomplete asymptotic expansiongamma type operatorspost-Widder operatorsgeneralized Rathore operators

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Cites Work

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• A characterization of weighted approximations by the Post-Widder and the gamma operators. II
• A characterization of weighted approximations by the Post-Widder and the Gamma operators
• On a family of approximation operators
• The characterization of the derivatives for linear combinations of Post-Widder operators in \(L_p\)
• A Voronovskaya Type Theorem on Modified Post-Widder Operators Preserving x²
• Asymptotic Methods for Integrals
• Approximation with certain Post-Widder operators
• Some Results on Post-Widder Operators Preserving Test Function x^r
• Modified Post-Widder Operators Preserving Exponential Functions
• Approximation properties of the Post‐Widder operators preserving e2ax,a>0

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