Some Geometric Properties of Bicomplex Sequence Spaces $l_{p}\left(\mathbb{BC}\right) $

Year 2022, Volume: 10 Issue: 1, 44 - 49, 15.04.2022

Nilay Değirmen Birsen Sağır Duyar

Abstract

In this article, we examine some geometric properties such as convexity, strictly convexity, uniformly convexity of bicomplex sequence spaces $ l_{p}\left( \mathbb{BC}\right) $ with Euclidean norm by proving some significant inequalities. We also furnish some nontrivial examples that support our findings for geometric properties not provided in some of these bicomplex sequence spaces.

Keywords

bicomplex sequence spaces, convexity, strictly convexity, uniformly convexity

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