, Volume 57, Issue 1, pp 39-66
Date: 01 Apr 2011

On discrete q -beta operators

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The aim of the present paper is to introduce and study the q-analogue of discrete beta operators. First, we show some approximation properties of these operators. Then, we establish some global direct error estimates for the above operators using the second order Ditzian–Totik modulus of smoothness. Finally, we define and study the limit discrete q-beta operator.