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Approximation by operators Involving Δh-Gould-Hopper Appell polynomials.

Authors :
YILMAZ, Bilge Zehra SERGİ
İÇÖZ, Gürhan
Source :
Turkish Journal of Mathematics. 2024, Vol. 48 Issue 3, p423-447. 26p.
Publication Year :
2024

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*POLYNOMIALS
*LINEAR operators

Details

Language :
English
ISSN :
13000098
Volume :
48
Issue :
3
Database :
Academic Search Index
Journal :
Turkish Journal of Mathematics
Publication Type :
Academic Journal
Accession number :
177413852
Full Text :
https://doi.org/10.55730/1300-0098.3517