Some Remarks on Certain Types of Continuity

D. K. Ganguly Chandrani Mitra, Chandana Dutta

Abstract

Infinite matrix transformation theory plays an important role in analysis, specially on the theory of summability. In this paper we introduce the concept of A− continuity of a real valued function associated with a regular infinite matrix A and some result related to A−continuous function has been established. Also a characterization of A−continuous function is presented after introducing the notion of A− oscillation of a function.