Semi-discrete Gruss-Voronovskaya-type and Gruss-type estimates for Bernstein-Kantorovich polynomials
Sorin G. Gal
TL;DR
This paper establishes semi-discrete Gruss-Voronovskaya-type and Gruss-type estimates for Bernstein-Kantorovich polynomials, providing new bounds and insights into their approximation properties.
Contribution
It introduces novel semi-discrete Gruss-Voronovskaya-type and perturbed Gruss-type estimates specifically for Bernstein-Kantorovich polynomials.
Findings
Proved a semi-discrete Gruss-Voronovskaya-type estimate.
Derived a perturbed Gruss-type estimate as a consequence.
Enhanced understanding of approximation bounds for Bernstein-Kantorovich polynomials.
Abstract
The aim of this note is to prove a semi-discrete Gruss-Voronovskaya-type estimate for Bernstein-Kantorovich polynomials. Also, as a consequence, a perturbed Gruss-type estimate is obtained.
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Taxonomy
TopicsApproximation Theory and Sequence Spaces · Mathematical functions and polynomials · Differential Equations and Boundary Problems