Extension of the generalized Bézier operators by wavelets

Karsli, Harun

doi:10.2478/gm-2022-0010

Abstract

In this paper we introduce a novel extension of generalized Bézier operators by replacing the sample values $f (\frac{k}{n})$ f\left({{k\overn}}\right) with the wavelet expansion of the function f. Using the compactly supported Daubechies wavelets, we construct a wavelet type extension of the generalized Bézier operators defined by Gupta [7]. Moreover, we investigate some properties of these operators in some function spaces.

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Extension of the generalized Bézier operators by wavelets

Abstract

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