Quantitative estimates for wavelet type extension of generalized Kantorovich operators

Gülen Başcanbaz- Tunca; Ayşegül Erençin; Ayşe Feza Güvenilir

doi:10.33205/cma.1784422

Quantitative estimates for wavelet type extension of generalized Kantorovich operators

Abstract

In this paper, we consider a sequence of operators as a wavelet type extension of univariate generalized Kantorovich operators depending on a positive real parameter given in [3]. We establish quantitative estimates for the rate of convergence of these operators in the continuous functions space and $L^{p}$-spaces in terms of modulus of continuity and $K$-functionals, respectively. Furthermore, some inequalities such as Bernstein-Markov type for continuous functions and variation preservation type property of the operators when the involved function is of bounded variation are provided.

Keywords

References

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Details

Primary Language

English

Subjects

Approximation Theory and Asymptotic Methods

Journal Section

Research Article

Authors

Gülen Başcanbaz- Tunca ^*
0000-0003-3216-1661
Türkiye

Ayşegül Erençin
0000-0001-6946-9577
Türkiye

Ayşe Feza Güvenilir
0000-0003-2670-5570
Türkiye

Early Pub Date

December 16, 2025

Publication Date

December 16, 2025

Submission Date

September 15, 2025

Acceptance Date

November 30, 2025

Published in Issue

Year 2025 Volume: 8 Number: Special Issue: ICCMA

DOI

https://doi.org/10.33205/cma.1784422

IZ

https://izlik.org/JA39MH28PH

Cite

RIS / Bibtex

APA

Başcanbaz- Tunca, G., Erençin, A., & Güvenilir, A. F. (2025). Quantitative estimates for wavelet type extension of generalized Kantorovich operators. Constructive Mathematical Analysis, 8(Special Issue: ICCMA), 39-48. https://doi.org/10.33205/cma.1784422

AMA

1.Başcanbaz- Tunca G, Erençin A, Güvenilir AF. Quantitative estimates for wavelet type extension of generalized Kantorovich operators. CMA. 2025;8(Special Issue: ICCMA):39-48. doi:10.33205/cma.1784422

Chicago

Başcanbaz- Tunca, Gülen, Ayşegül Erençin, and Ayşe Feza Güvenilir. 2025. “Quantitative Estimates for Wavelet Type Extension of Generalized Kantorovich Operators”. Constructive Mathematical Analysis 8 (Special Issue: ICCMA): 39-48. https://doi.org/10.33205/cma.1784422.

EndNote

Başcanbaz- Tunca G, Erençin A, Güvenilir AF (December 1, 2025) Quantitative estimates for wavelet type extension of generalized Kantorovich operators. Constructive Mathematical Analysis 8 Special Issue: ICCMA 39–48.

IEEE

[1]G. Başcanbaz- Tunca, A. Erençin, and A. F. Güvenilir, “Quantitative estimates for wavelet type extension of generalized Kantorovich operators”, CMA, vol. 8, no. Special Issue: ICCMA, pp. 39–48, Dec. 2025, doi: 10.33205/cma.1784422.

ISNAD

Başcanbaz- Tunca, Gülen - Erençin, Ayşegül - Güvenilir, Ayşe Feza. “Quantitative Estimates for Wavelet Type Extension of Generalized Kantorovich Operators”. Constructive Mathematical Analysis 8/Special Issue: ICCMA (December 1, 2025): 39-48. https://doi.org/10.33205/cma.1784422.

JAMA

1.Başcanbaz- Tunca G, Erençin A, Güvenilir AF. Quantitative estimates for wavelet type extension of generalized Kantorovich operators. CMA. 2025;8:39–48.

MLA

Başcanbaz- Tunca, Gülen, et al. “Quantitative Estimates for Wavelet Type Extension of Generalized Kantorovich Operators”. Constructive Mathematical Analysis, vol. 8, no. Special Issue: ICCMA, Dec. 2025, pp. 39-48, doi:10.33205/cma.1784422.

Vancouver

1.Gülen Başcanbaz- Tunca, Ayşegül Erençin, Ayşe Feza Güvenilir. Quantitative estimates for wavelet type extension of generalized Kantorovich operators. CMA. 2025 Dec. 1;8(Special Issue: ICCMA):39-48. doi:10.33205/cma.1784422