Abstract
Bu starting from a recent paper by Campiti and Metafune [7], we consider a generalization of the Baskakov operators, which is introduced by replacing the binomial coefficients with other coefficients defined recursively by means of two fixed sequences of real numbers. In this paper, we indicate some of their properties, including a decomposition into an expression which depends linearly on the fixed sequences and an estimation of the corresponding order of approximation, in terms of the modulus of continuity.
Authors
Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
Baskakov-type operators; order of approximation; modulus of continuity.
Paper coordinates
O. Agratini, Properties of a new class of recursively defined Baskakov-type operators, Archivum Mathematicum, 34 (1998) no. 3, pp. 353-359.
About this paper
Journal
Archivum Mathematicum
Publisher Name
Masaryk University
DOI
Print ISSN
1212-5059
Online ISSN
1212-5059
google scholar link
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