Approximation theorem in $$L_{p}$$ for a class of operators constructed by wavelets

Abstract

In this paper we deal with a linear operator of Baskakov-type which has been constructed in [1] by using wavelets. Now, we estimate the order of approximation in $$L_{p}$$-space $$\left( 1<p\leq\infty\right)$$ for smooth functions.

Authors

Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania

Keywords

Baskakov-type operators; order of approximation; wavelets.

Paper coordinates

O. Agratini, Approximation theorem in Lp for a class of operators constructed  by wavelets, Studia Univ. ”Babeș-Bolyai”, Mathematica, 41 (1996) no. 4, pp. 11-16.

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Journal

Studia Universitatis  “Babes-Bolyai” Mathematica

Mathematica