On some new scenario of Δ-spaces

Abstract

The structure of the Cesàro spaces were investigated by various authors as cited in the text. The scenario of this manuscript is to bring out the spaces C1 ( 4g ) and C∞ [4sg] of Cesàro type for s ∈ N = {0, 1, 2, . . .}. We will study some of their basic topological properties and obtain some inclusion relations concerning these spaces.