Approximation by operators Involving Δh -Gould-Hopper Appell polynomials

Authors

BİLGE ZEHRA SERGİ YILMAZFollow
GÜRHAN İÇÖZFollow

Abstract

The present paper deals with the approximation properties of the linear positive operators, including Δh -Gould-Hopper Appell polynomials. We investigate some theorems for convergence of the operators and their approximation degrees with the help of the classical approach, Peetre’s K-functional, Lipschitz class and Voronovskajatype theorem. In the last section of the paper, we introduce the Kantorovich form of the operators and examine the approximation degree.

DOI

10.55730/1300-0098.3517

Keywords

Appell polynomials, Kantorovich operators, Szász operators, Voronovskaja-type theorem

First Page

423

Last Page

447

Recommended Citation

SERGİ YILMAZ, BİLGE ZEHRA and İÇÖZ, GÜRHAN (2024) "Approximation by operators Involving Δh -Gould-Hopper Appell polynomials," Turkish Journal of Mathematics: Vol. 48: No. 3, Article 6. https://doi.org/10.55730/1300-0098.3517
Available at: https://journals.tubitak.gov.tr/math/vol48/iss3/6