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.
About this paper
Journal
Supplemento ai Rendicontin del Circolo Matematico di Palermo
Publisher Name
Circ. Mat. Palermo
DOI
Print ISSN
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1592-9531
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Online ISSN
google scholar link
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