Pointwise approximation by a Stancu variant of Durrmeyer-Schurer operators

In the present paper, we introduce a kind of Stancu variant of Durrmeyer-Schurer operators which includes non-negative real parameters α and β, and obtain the direct and converse results of approximation by the operators. Finally, we provide some graphs and number examples in order to illustrate the significance of our newly constructed operators. This work enriches linear positive operators and offers a practical tool for numerical approximation.

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Publication Details

Journal
Journal of Inequalities and Applications
Published
2026-02-05
DOI
https://doi.org/10.1186/s13660-026-03434-7
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
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article

Pointwise approximation by a Stancu variant of Durrmeyer-Schurer operators

Jiang Bing
Journal of Inequalities and Applications
Approximation Theory and Sequence Spaces
article

Pointwise approximation by a Stancu variant of Durrmeyer-Schurer operators

Jiang Bing
article en

Abstract

In the present paper, we introduce a kind of Stancu variant of Durrmeyer-Schurer operators which includes non-negative real parameters α and β, and obtain the direct and converse results of approximation by the operators. Finally, we provide some graphs and number examples in order to illustrate the significance of our newly constructed operators. This work enriches linear positive operators and offers a practical tool for numerical approximation.

Journal of Inequalities and ApplicationsVol. 2026(1)
Hefei University (CN)
Openalex Percentile: Top 67%
Approximation Theory and Sequence Spaces
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Pointwise approximation by a Stancu variant of Durrmeyer-Schurer operators — Jiang Bing · Journal of Inequalities and Applications (2026) | TGRS Research Map | TGRS