Rate of convergence of a class of Bézier type operators for functions of bounded variation

2 years ago

(original), Approximation Theory, Linear and positive approximation operators, not-at-ICTP, paper

Abstract

By using probability methods we introduce a general a class of Bezier type linear operators. The aim of the present paper is to estimate the rate of pointwise convergence of this class for functions of bounded variation\ defined on an interval \(J\). Two cases are analyzed: \(Int\left( J\right)=\left( 0,\infty\right)\) and \(Int\left( J\right)=\left( 0,1\right)\). In a particular case, our operators turn into the Kantorovich-Bezier operators. Also some examples are delivered.

Authors

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

Keywords

Approximation process; bounded variation; rate of convergence; Bezier type operators.

Paper coordinates

O. Agratini, Rate of convergence of a class of Bézier type operators for functions of bounded variation, Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II, 76 (2005), pp. 177-195.

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About this paper

Journal

Supplemento ai Rendicontin del Circolo Matematico di Palermo

Publisher Name

Circ. Mat. Palermo

DOI

Print ISSN

1592-9531

Online ISSN

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