Some Approximation Properties of Operators Including Degenerate Appell Polynomials-Reference-Cited by-同舟云学术

Some Approximation Properties of Operators Including Degenerate Appell Polynomials

Published:2023-12-01 Issue:6 Volume:73 Page:1545-1558
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Sergi Bilge Zehra¹,İçöz Gürhan²,Çekim Bayram²

Affiliation:

1. * Graduate School of Natural and Applied Science, Gazi University , Ankara , TURKEY

2. ** Department of Mathematics, Gazi University , Ankara , TURKEY

Abstract

ABSTRACT This paper is interested in a new sequence of linear positive operators including degenerate Appell polynomials. We give a convergence theorem for these operators and obtain the quantitative estimation of the approximation by using modulus of continuity, Peetre’s 𝒦-functional, Lipschitz class functions and a Voronovskaja-type theorem. In addition, we give a Kantorovich modification of these operators and derive some approximation properties.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2023-0111/pdf

Reference26 articles.

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3. Atakut, Ç.—Büyükyazici, İ.: Approximation by modified integral type Jakimovski-Leviatan operators, Filomat 30(1) (2016), 29–39.

4. Banach, S.: Théorie des Opérations Linéaires. Monografie Matematyczne, 1932 (in French).

5. Bateman, H.—Erdélyi, A.: Higher Transcendental Functions 1–3, McGraw-Hill, 1953–1955.

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