Work

A generalization of Phillips operators by using the Appell polynomials of class $A^{(2)}$

Year: 2025

Type: article

Abstract: The current paper discusses some important approximation properties of a new modification of the Phillips operators with the help of $A^{(2)}$ class Appell polynomials. Firstly, we present the convergence rate of our new operators by using modulus of continuity. Then we establish a quantitative Voronovskaya-type asymptotic result. We also introduce Hermite polynomials and Gould–Hopper polynomials, which are more specific examples of Appell polynomials.

Source: Journal of Inequalities and Applications

DOI: 10.1186/s13660-025-03260-3

Author: Melek Sofyalıoğlu Aksoy

Institution: Ankara Hacı Bayram Veli University

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,190

OpenAlex ID: W4407179633