Rate of convergence of Gupta-Srivastava operators based on certain parameters
Ram Pratap, Naokant Deo
TL;DR
This paper investigates the convergence rate of a Bézier variant of Gupta-Srivastava operators using various smoothness measures, providing insights into their approximation properties.
Contribution
It introduces a Bézier variant of Gupta-Srivastava operators and analyzes their convergence rate with respect to different smoothness criteria.
Findings
Convergence rate is established using Lipschitz, Ditzian-Totik, and weighted moduli.
The operators approximate functions with bounded variation effectively.
Results demonstrate the operators' efficiency in approximation tasks.
Abstract
In the present paper, we consider the B\'ezier variant of the general family of Gupta-Srivastava operators \cite{GS:18}. For the proposed operators, we discuss the rate of convergence by using of Lipschitz type space, Ditzian-Totik modulus of smoothness, weighted modulus of continuity and functions of bounded variation.
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Taxonomy
TopicsApproximation Theory and Sequence Spaces · Mathematical Approximation and Integration · Advanced Harmonic Analysis Research