On modified Beta operators


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.


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


beta-type operators; Lipschitz condition; modulus of continuity.

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O. Agratini, On modified Beta operators, Studia Universitatis Babes-Bolyai Mathematica, 42 (1997) no. 1, pp. 5-9.


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