Statistical Korovkin-type theorem for monotone and sublinear operators

Abstract

In this paper we generalize the result on statistical uniform convergence in the Korovkin theorem for positive and linear operators in C([a, b]), to the more general case of monotone and sublinear operators. Our result is illustrated by concrete examples. Mathematics Subject Classification (2010): 41A35, 41A36, 41A63. Received 18 April 2022; Accepted 05 February 2023