Work

Approximation using Jakimovski–Leviatan operators of Durrmeyer type with 2D-Appell polynomials

Year: 2025

Type: article

Abstract: This article delves into Jakimovski–Leviatan–Durrmeyer type operators based on 2D-Appell polynomials. The investigation initiates by exploring the Korovkin-type approximation theorem and its convergence rates, employing both the traditional modulus of continuity and a class of Lipschitz functions. Following this, the study delves into the convergence of these operators within the weighted space of functions, providing estimates for their approximation properties. The establishment of a Voronovskaja-type asymptotic formula is also included. Furthermore, the article obtains statistical approximation properties for these operators through the application of a universal Korovkin-type statistical approximation theorem. The theoretical findings are reinforced by numerical and graphical examples, for different choice of parameters.

Source: Journal of Inequalities and Applications

DOI: 10.1186/s13660-025-03300-y

Authors: Manoj Kumar, Nusrat Raza, M. Mursaleen

Institutions: Aligarh Muslim University, China Medical University, China Medical University Hospital, Saveetha 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: W4409460400

FWCI: 3.485

Cites: 24

Cited by: 4

Related to: 10