This article reveals the properties of Durrmeyer operators connected to Boas-Buck polynomials, suggesting methods for analyzing convergence rates.
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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Deo et al. (2025) studied this question.
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