Voronovskaja type theorem for the lupaş q-analogue of the bernstein operators

Abstract

In this paper, we estimate the third and the fourth order central moments for the difference of the Lupa ?s q-analogue of the Bernstein operator and the limit q-Lupaş operator. We also prove a quantitative variant of Voronovskaja's theorem for R <inf>n;q.</inf>. © 2012 Department of Mathematics, University of Osijek.