Work

Korovkin Type Theorem for Modified Bernstein Operators via A-Statistical Convergence and Power Summability Method

Year: 2025

Type: article

Abstract: In this study, we investigate the approximation properties of modified Bernstein operators through the lens of A-statistical convergence and power summability methods. Our main objective is to establish a Korovkin-type approximation theorem in this generalized setting. By incorporating statistical convergence, we aim to provide broader and more powerful approximation results that can be applied in various contexts where classical convergence criteria may fail or be insufficient.

Source: Mathematical Sciences and Applications E-Notes

DOI: 10.36753/mathenot.1657527

Authors: Tuğba Değirmenci, Merve Ilkhan Kara

Institution: Düzce Üniversitesi

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4411207183

FWCI:

Cites: 16

Cited by:

Related to: 10