Posts by Octavian Agratini

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.

PDF

About this paper

Journal

Studia Universitatis  “Babes-Bolyai” Mathematica

Publisher Name

Mathematica

DOI
Print ISSN
Online ISSN

google scholar link

[1] O.Agratini, Construciton of Baskakov-type operators by wavelets, Revue d’Analyse Numerique et de Theorie de l’Approximation, tome 26, 1-2, 1997, to appear.
[2] Yu.A. Brudnyi and N. Ya. Krugliak, Interpolation Functors and Interpolation Spaces, vol.I, North-Holland Mathematical Library, 1991.
[3] Charles K.Chui,  An Introduction to Wavelets,  Academic Press, Boston, 1992.
[4] I. Daubechies, Ten Lectures on Wavelets,  CBMS-NSF Series in Appl. Math., 61, SIAM Publ.,Philadelphia, 1992., 1992.
[5] H.H.Gonska and Ding-Xuan Zhou,  Using wavelets for Szasz-type operators,  Revue d’Analyse Num erique et de Theorie de l’Approximation, tome 24, 1-2, 1995, 131-145.
[6] Yyes Meyer, Ondelettes et Operateurs,  vol. I and vol.II, Hermann, Paris, 1990, Also, Y. Meyer and R.R. Coifman, vol. III, 1991.

Related Posts

An application of divided differences

Abstract By using the divided differences as fundamental mathematical tools we investigate the monotonicity property of a sequence of linear…

Mastroianni operators revisited

Abstract The present paper focuses on a class of linear positive operators introduced by G. Mastroianni. An integral extension in…

On a q-analogue of Stancu operators

Abstract This paper is concerned with a generalization in q-calculus of Stancu operators. Involving modulus of continuity and Lipschitz type…