Approximation by operators Involving Δh -Gould-Hopper Appell polynomials

Authors

BİLGE ZEHRA SERGİ YILMAZFollow
GÜRHAN İÇÖZFollow

DOI

10.55730/1300-0098.3517

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.

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