Durrmeyer type operators linked with Boas-Buck type polynomials

The present article intends to introduce the sequence of Baskakov-Durrmeyer type operators linked with the generating functions of Boas-Buck type polynomials. After calculating the moments, including the limiting case of central moments of the constructed sequence of operators, in the subsequent sections, we estimate the convergence rate using the Ditzian-Totik modulus of smoothness and some convergence results in Lipchitz-type space.

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Publication Details

Journal
ArXiv.org
Published
2025-03-04
Primary Topic
Holomorphic and Operator Theory
Type
article
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article

Durrmeyer type operators linked with Boas-Buck type polynomials

Sandeep Kumar, Naokant Deo
ArXiv.org
Holomorphic and Operator Theory
article

Durrmeyer type operators linked with Boas-Buck type polynomials

Sandeep Kumar, Naokant Deo
article en

Abstract

The present article intends to introduce the sequence of Baskakov-Durrmeyer type operators linked with the generating functions of Boas-Buck type polynomials. After calculating the moments, including the limiting case of central moments of the constructed sequence of operators, in the subsequent sections, we estimate the convergence rate using the Ditzian-Totik modulus of smoothness and some convergence results in Lipchitz-type space.

ArXiv.org
Openalex Percentile: Top 59%
Holomorphic and Operator Theory
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Durrmeyer type operators linked with Boas-Buck type polynomials — Sandeep Kumar, Naokant Deo · ArXiv.org (2025) | TGRS Research Map | TGRS