The semi normed space defined by entire sequences

Abstract

In this paper we introduce the sequence spaces Gamma(p, σ, q, s), Lambda(p, σ, q, s) and define a semi normed space (X, q), semi normed by q. We study some properties of these sequence spaces and obtain some inclusion relations.

Keywords

• Entire sequence
• Analytic sequence
• Invariant mean
• Semi norm.