Work

A study of (σ, μ)-Stancu-Schurer as a new generalization and approximations

Year: 2025

Type: article

Abstract: The goal of this manuscript is to introduce a new sequence as ( σ , μ )-Stancu-Schurer operators. Further, some estimates are calculated as test functions and central moments. In the next section, rapidity of convergence and order of approximation are studied in terms of first and second order modulus of continuity. Voronovskaja-type approximation result is investigated to approximate the class of functions which has first and second order continuous derivatives. Moreover, local approximation properties are studied in several functional spaces. To demonstrate the effectiveness and applicability of the proposed operators, we present several illustrative examples and visualize the results graphically.

Source: Journal of Inequalities and Applications

DOI: 10.1186/s13660-025-03348-w

Authors: Nadeem Rao, Mohammad Farid, Nand Kishor Jha

Institution: Chandigarh 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

Funder: Qassim University