Moments of a q-Baskakov-beta operators in case 0<q<1

Abstract

In this paper we obtain the estimates of the central moments for the recently defined q -analogue of Baskakaov-beta operators. We obtain the evaluation for the rate of convergence in term of the first modulus of smoothness and Voronovskaja-type theorem for these operators.Mathematics subject classification (2010): 41A25, 41A30.