Korovkin subsets in the sense of summation process

Abstract

In this paper we introduce Korovkin subsets for a positive linear operator T in the sense of summation process. The characterization of Korovkin subsets of C 0 (X), closure of the set of all functions with compact support on X, for a positive linear operator in the sense of summation process is obtained where X is a locally compact Hausdorff space and has a countable base. We also provide some examples that are Korovkin subsets for the identity operator in the sense of summation process. © 2018, Tsing Hua University. All rights reserved.