Triangular ideal relative convergence on modular spaces and Korovkin theorems

Abstract

"In this paper, we introduce the concept of triangular ideal relative convergence for double sequences of functions defined on a modular space. Based upon this new convergence method, we prove Korovkin theorems. Then, we con- struct an example such that our new approximation results work. Finally, we discuss the reduced results which are obtained by special choices. Keywords: Positive linear operators, the double sequences, triangular ideal relative modular convergence, Korovkin theorem."