ON I-CONVERGENCE OF SEQUENCES OF FUNCTIONS AND UNIFORM CONJUGACY

In this paper we introduce the notion of I∗-α-uniform equal con- vergence and I∗-α-strong uniform equal convergence of sequences of functions and then investigate some lattice properties of ΦI∗-α-u.e. and ΦI∗-α-s.u.e., the classes of all functions which are I∗-α-uniform equal limits and I∗-α-strong uniform equal limits of sequences of functions respectively obtained from a class of functions Φ. We have also shown that I-exhaustiveness, I-uniform and I-α- convergence of sequences of functions are preserved under uniform conjugacy.