Approximation by generalized Bernstein-Stancu operators

Authors : Nursel Çetin, Voichita Adriana Radu

Pages : 2032-2048

View : 10 | Download : 7

Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :In this paper, we investigate approximation properties of the Stancu type generalization of the $\alpha$-Bernstein operator. We obtain a recurrence relation for moments and the rate of convergence by means of moduli of continuity. Also, we present Voronovskaya and Grüss-Voronovskaya type asymptotic results for these operators. Finally, the study contains numerical considerations regarding the constructed operators based on Maple algorithms.
Keywords : Stancu operators, $alpha$-Bernstein operators, moduli of continuity, rate of convergence, Voronovskaya type theorem