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

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.

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Publication Details

Journal
Mathematical Sciences and Applications E-Notes
Published
2025-06-11
DOI
https://doi.org/10.36753/mathenot.1657527
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
Field-Weighted Citation Impact
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article

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

Merve İlkhan, Tuğba Değirmenci
Mathematical Sciences and Applications E-Notes
Approximation Theory and Sequence Spaces
article

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

Merve İlkhan, Tuğba Değirmenci
article en

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.

Mathematical Sciences and Applications E-NotesVol. 13(2)
Düzce Üniversitesi (TR)
Openalex Percentile: Top 87%
Approximation Theory and Sequence Spaces
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