On the Korovkin-Type and Statistical Approximation of A New Linear Positive Operators

In this paper, a new generalization of Bernstein operators is defined. The Korovkin type approximation and the statistical approximation of this new operator are studied. Voronovskaja type and quantitative Voronovskaja type approximation theorems are proved. Graphs of the approximation are obtained using the Maple program.

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Journal
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
Published
2026-03-29
DOI
https://doi.org/10.31801/cfsuasmas.1468206
Primary Topic
Approximation Theory and Sequence Spaces
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article
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article

On the Korovkin-Type and Statistical Approximation of A New Linear Positive Operators

Done Karahan Dinsever, Aydın İzgi
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
Approximation Theory and Sequence Spaces
article

On the Korovkin-Type and Statistical Approximation of A New Linear Positive Operators

Done Karahan Dinsever, Aydın İzgi
article en

Abstract

In this paper, a new generalization of Bernstein operators is defined. The Korovkin type approximation and the statistical approximation of this new operator are studied. Voronovskaja type and quantitative Voronovskaja type approximation theorems are proved. Graphs of the approximation are obtained using the Maple program.

Communications Faculty Of Science University of Ankara Series A1Mathematics and StatisticsVol. 75(1)
Harran University (TR)
Openalex Percentile: Top 3%
Approximation Theory and Sequence Spaces
DOIOpen Access PDFOpenAlex
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On the Korovkin-Type and Statistical Approximation of A New Linear Positive Operators — Done Karahan Dinsever, Aydın İzgi · Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics (2026) | TGRS Research Map | TGRS