Abstract
The purpose of this paper is to introduce a class of Baskakov-type operators by means of Daubechies’ compactly-supported wavelets. The new operators have the same moments as Baskakov operators in an arbitrarily chosen number. The rate of convergence of these operators is in connection with Lipschitz functions with respect to the second-order modulus of smoothness.
Authors
Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
Baskakov operator; Daubechies wavelets; modulus of smoothness.
Paper coordinates
O. Agratini, Construction of Baskakov-type operators by wavelets, Revue d’Analyse Numerique et de Theorie de l’Approximation, 26 (1997) nos. 1-2, pp. 3-11, https://ictp.acad.ro/jnaat/journal/article/view/1997-vol26-nos1-2-art1
About this paper
Journal
Revue d’Analyse Numerique et de Theorie de l’Approximation
Publisher Name
Romanian Academy
DOI
Print ISSN
1222-9424
Online ISSN
google scholar link
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