On wavelet type Chlodovsky Bézier operators

Harun  Karsli

doi:10.59400/jam3040

On wavelet type Chlodovsky Bézier operators

Harun Karsli Department of Mathematics, Faculty of Science and Arts, Bolu Abant Izzet Baysal University, Bolu 14030, Turkey

Article ID: 3040

Keywords: wavelets; compactly supported Daubechies wavelets; Chlodovsky operator; Bézier basis; convergence rate; variation

Abstract

This paper mainly deals with Chlodovsky Bézier variants constructed via compactly supported Daubechies wavelets. We estimate the convergence rate of the aforementioned operators at a fixed point x₀> 0 at which the one-sided limits exist of the target function f. It is evident that the class of operators under consideration encompasses at least the classical version of the Chlodovsky operators along with their B ézier and Kantorovich variants. Therefore, our findings broaden and build upon previous results on Chlodovsky, Chlodovsky Bézier, Chlodovsky-Kantorovich Bézier operators presented in the literature.

Published

2025-07-01

How to Cite

Karsli, H. (2025). On wavelet type Chlodovsky Bézier operators. Journal of AppliedMath, 3(4), 3040. https://doi.org/10.59400/jam3040

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Vol. 3 No. 4 (2025)

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Article

This work is licensed under a Creative Commons Attribution 4.0 International License.

References

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