On the Stancu Type of Novel Generalization of $\left(\lambda,\mu\right)$-Bernstein-Kantorovich Operators

Murat Bodur

doi:10.36753/mathenot.1847910

On the Stancu Type of Novel Generalization of $\left(\lambda,\mu\right)$-Bernstein-Kantorovich Operators

Abstract

This study investigates the shape parameters $\lambda$ and $\mu$, a concept of contemporary interest due to their capacity to introduce considerable flexibility and enhance modeling possibilities within approximation theory. This paper mainly introduces novel generalized $(\lambda,\mu)$-Bernstein-Kantorovich-Stancu operators. We examine the approximation properties of these operators, establishing the order of approximation through classical methods, specifically utilizing the Lipschitz class and the second modulus of continuity. Finally, to substantiate our theoretical findings, we present comprehensive numerical and graphical illustrations.

Keywords

$(\lambda,\mu)$-Bernstein-Kantorovich-Stancu operators, Lipschitz continuous functions, rate of convergence

References

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Details

Primary Language

English

Subjects

Approximation Theory and Asymptotic Methods

Journal Section

Research Article

Authors

Murat Bodur ^*
0000-0002-9195-9043
Türkiye

Early Pub Date

February 26, 2026

Publication Date

February 26, 2026

Submission Date

December 23, 2025

Acceptance Date

February 24, 2026

Published in Issue

Year 2026 Volume: 14 Number: 1

DOI

https://doi.org/10.36753/mathenot.1847910

IZ

https://izlik.org/JA27ZR98EZ

APA

Bodur, M. (2026). On the Stancu Type of Novel Generalization of $\left(\lambda,\mu\right)$-Bernstein-Kantorovich Operators. Mathematical Sciences and Applications E-Notes, 14(1), 21-31. https://doi.org/10.36753/mathenot.1847910

AMA

1.Bodur M. On the Stancu Type of Novel Generalization of $\left(\lambda,\mu\right)$-Bernstein-Kantorovich Operators. Math. Sci. Appl. E-Notes. 2026;14(1):21-31. doi:10.36753/mathenot.1847910

Chicago

Bodur, Murat. 2026. “On the Stancu Type of Novel Generalization of $\left(\lambda,\mu\right)$-Bernstein-Kantorovich Operators”. Mathematical Sciences and Applications E-Notes 14 (1): 21-31. https://doi.org/10.36753/mathenot.1847910.

EndNote

Bodur M (March 1, 2026) On the Stancu Type of Novel Generalization of $\left(\lambda,\mu\right)$-Bernstein-Kantorovich Operators. Mathematical Sciences and Applications E-Notes 14 1 21–31.

IEEE

[1]M. Bodur, “On the Stancu Type of Novel Generalization of $\left(\lambda,\mu\right)$-Bernstein-Kantorovich Operators”, Math. Sci. Appl. E-Notes, vol. 14, no. 1, pp. 21–31, Mar. 2026, doi: 10.36753/mathenot.1847910.

ISNAD

Bodur, Murat. “On the Stancu Type of Novel Generalization of $\left(\lambda,\mu\right)$-Bernstein-Kantorovich Operators”. Mathematical Sciences and Applications E-Notes 14/1 (March 1, 2026): 21-31. https://doi.org/10.36753/mathenot.1847910.

JAMA

1.Bodur M. On the Stancu Type of Novel Generalization of $\left(\lambda,\mu\right)$-Bernstein-Kantorovich Operators. Math. Sci. Appl. E-Notes. 2026;14:21–31.

MLA

Bodur, Murat. “On the Stancu Type of Novel Generalization of $\left(\lambda,\mu\right)$-Bernstein-Kantorovich Operators”. Mathematical Sciences and Applications E-Notes, vol. 14, no. 1, Mar. 2026, pp. 21-31, doi:10.36753/mathenot.1847910.

Vancouver

1.Murat Bodur. On the Stancu Type of Novel Generalization of $\left(\lambda,\mu\right)$-Bernstein-Kantorovich Operators. Math. Sci. Appl. E-Notes. 2026 Mar. 1;14(1):21-3. doi:10.36753/mathenot.1847910