A Voronovskaya-type formula for SMK operators via statistical convergence

Abstract

ABSTRACT. In this paper, we obtain a statistical Voronovskaya-type theorem for the Szász-Mirakjan-Kantorovich (SMK) operators by using the notion of A-statistical convergence, where A is a non-negative regular summability matrix.

A Note On Statistical Approximation Properties of Complex q-Szász- Mirakjan Operators

“…In 2002, Gadjiev and Orhan gave some approximation results by using statistical convergence [1]. And several authors have studied in approximation theory by using statistical convergence concept (see [3], [4] and [5] [6], [7], [8], [13], [19]). Now, we give some notations on q analysis given in [16] and [21].…”

$A$-statistical convergence of Mittag-Leffler operators

“…where the operators S n are the modified Szász-Mirakjan operators considered in [1]. By direct computations one can state the following lemma; .c/ˇL…”