MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
QUANTITATIVE ESTIMATES FOR MODIFIED BETA OPERATORS
G. Bascanbaz-Tunca, A. Erencin, H. G. Ince-Ilarslan

Abstract

In this paper, we introduce a sequence of positive linear Beta type operators based on a function $\tau$ having certain properties. We firstly give some approximation properties of these operators. Next, we establish Voronovskaja type and Grüss-Voronovskaja type theorems in quantitative form with the help of the first order Ditzian-Totik modulus of smoothness.

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Keywords: Beta operators; Voronovskaja type theorem; Grüss-Voronovskaja type theorem.

MSC: 41A36

Pages:  359--367     

Volume  71 ,  Issue  4 ,  2019