On some types of convergence of sequences of functions in ideal context

Abstract

In this paper we consider the notion of I*-uniform equal convergence introduced by Das, Dutta and Pal [15] and two related notions of convergence, namely, I*-uniform discrete and I*-strong uniform equal convergence. We then investigate some lattice properties of ΦI*-ue, ΦI*-ud and ΦI*-sue, the classes of all functions defined on a non-empty set X, which are I*-uniform equal limits, I*-uniform discrete limits and I*-strong uniform equal limits of sequences of functions belonging to a class of functions Φ respectively.