Approximation by generalized Stancu-Kantorovich operators

In this paper, we consider a new generalization of Stancu-Kantorovich operators depending on two parameters. Firstly, we prove the approximation theorem in the space of real valued continuous functions on compact interval and then obtain some estimates for the rate of convergence by using moduli of smoothness of the first and the second order. Finally, we give some graphical and numerical examples to demonstrate the approximation process of generalized Stancu-Kantorovich and the classical Kantorovich operators for different parameters.

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Publication Details

Journal
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
Published
2025-09-23
DOI
https://doi.org/10.31801/cfsuasmas.1519351
Citations
1
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
Field-Weighted Citation Impact
2.63
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article

Approximation by generalized Stancu-Kantorovich operators

Nursel Çetіn, Selver Yeter
1 citations
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
Approximation Theory and Sequence Spaces
2.63
article

Approximation by generalized Stancu-Kantorovich operators

Nursel Çetіn, Selver Yeter
article en
1 citations

Abstract

In this paper, we consider a new generalization of Stancu-Kantorovich operators depending on two parameters. Firstly, we prove the approximation theorem in the space of real valued continuous functions on compact interval and then obtain some estimates for the rate of convergence by using moduli of smoothness of the first and the second order. Finally, we give some graphical and numerical examples to demonstrate the approximation process of generalized Stancu-Kantorovich and the classical Kantorovich operators for different parameters.

Communications Faculty Of Science University of Ankara Series A1Mathematics and StatisticsVol. 74(3)
Ankara Hacı Bayram Veli University (TR)
Openalex Percentile: Top 8%
Approximation Theory and Sequence Spaces
2.63
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