Extension of the generalized Bézier operators by wavelets

Harun Karslı · General Mathematics · 2022

Abstract In this paper we introduce a novel extension of generalized Bézier operators by replacing the sample values f ( 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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