Abstract
In the present paper, we deal with an integral operator of beta-type \(L_{m,y}\) depending on a positive real parameter \(y\). We give an estimation of the order of approximating by using the first order modulus of continuity. Also, we prove an asymptotic formula of Voronovskaja type and we show that the operator preserves the Lipschitz constants.
Authors
Octavian Agratini
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
beta-type operators; Lipschitz condition; modulus of continuity.
Paper coordinates
O. Agratini, On modified Beta operators, Studia Universitatis Babes-Bolyai Mathematica, 42 (1997) no. 1, pp. 5-9.
About this paper
Journal
Studia Universitatis Babes-Bolyai Mathematica
Publisher Name
Studia
DOI
Print ISSN
0252-1938
Online ISSN
2065-961X
0252-1938
google scholar link
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