On wavelet type Chlodovsky Bézier operators

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.

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Publication Details

Journal
Journal of AppliedMath
Published
2025-07-01
DOI
https://doi.org/10.59400/jam3040
Primary Topic
Image and Signal Denoising Methods
Type
article
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article

On wavelet type Chlodovsky Bézier operators

Harun Karslı
Journal of AppliedMath
Image and Signal Denoising Methods
article

On wavelet type Chlodovsky Bézier operators

Harun Karslı
article en

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.

Journal of AppliedMathVol. 3(4)
Bolu Abant İzzet Baysal University (TR)
Openalex Percentile: Top 86%
Image and Signal Denoising Methods
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