On Some Geometric Properties Of Sequence Space Defined By de la Vallee-Poussin Mean

TL;DR

This paper explores the geometric properties of a sequence space defined by de la Vallee-Poussin mean, focusing on k-nearly uniform convexity and Opial properties, with implications for its structure.

Contribution

It introduces and analyzes the k-nearly uniform convexity and Opial properties of the sequence space based on de la Vallee-Poussin mean, providing new insights into its geometry.

Findings

The sequence space exhibits k-nearly uniform convexity.

The space possesses the uniform Opial property.

Several corollaries elucidate its geometric structure.

Abstract

In this work, we investigate k-nearly uniform convex(k-NUC) and the uniform Opial properties of the sequence space defined by de la Vallee-Poussin mean. Also we give some corollaries concerning the geometrical properties of this space.