Back to Search Start Over

ON I-CONVERGENCE OF SEQUENCES OF FUNCTIONS AND UNIFORM CONJUGACY.

Authors :
BANERJEE, AMAR KUMAR
HOSSAIN, NESAR
Source :
Journal of Mathematical Analysis. 2022, Vol. 13 Issue 5, p12-20. 9p.
Publication Year :
2022

Abstract

In this paper we introduce the notion of I*-α-uniform equal convergence and I*-α-strong uniform equal convergence of sequences of functions and then investigate some lattice properties of ΦI*-α-u:e: and I*-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--convergence of sequences of functions are preserved under uniform conjugacy. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*BANACH lattices

Details

Language :
English
ISSN :
21173419
Volume :
13
Issue :
5
Database :
Academic Search Index
Journal :
Journal of Mathematical Analysis
Publication Type :
Academic Journal
Accession number :
161047550
Full Text :
https://doi.org/10.54379/JMA-2022-5-2