Affiliation:
1. Department of Mathematics , Faculty of Art and Sciences , Ondokuz Mayıs University , Samsun , Türkiye
Abstract
Abstract
In this paper, we examine the validity of bicomplex versions of some crucial
inequalities with respect to the hyperbolic-valued norm
|
⋅
|
𝕜
{|\cdot|_{\Bbbk}}
and we discuss some topological and geometric
concepts such as completeness, convexity, strict convexity and uniform
convexity in the bicomplex setting with respect to the hyperbolic-valued
norm
∥
⋅
∥
𝔻
,
⋅
{\|\cdot\|_{\mathbb{D},\cdot}}
by defining the concept of
𝔻
{\mathbb{D}}
-normed Banach bicomplex A-module and constructing
𝔻
{\mathbb{D}}
-normed Banach bicomplex
𝔹
ℂ
{\mathbb{BC}}
-modules
l
p
𝕜
(
𝔹
ℂ
)
{l_{p}^{\Bbbk}(\mathbb{BC})}
.
Cited by
2 articles.
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