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arXiv · 2503.02243

Durrmeyer type operators linked with Boas-Buck type polynomials

Naokant Deo·Sandeep Kumar
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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.

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Naokant Deo, Sandeep Kumar. 2025-03-04. Durrmeyer type operators linked with Boas-Buck type polynomials. https://arxiv.org/abs/2503.02243

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