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Some Aspects of Geometric Constants in Modular Spaces
- Source :
- European Journal of Mathematical Analysis, Vol 1, Pp 151-163 (2021)
- Publication Year :
- 2021
- Publisher :
- Ada Academica, 2021.
-
Abstract
- In this paper, we generalize the typical geometric constants of Banach spaces to modular spaces. We study the equivalence between the convexity of modular and normed spaces, and obtain the relationship between ρ-Neumann-Jordan constant and ρ-James constant. In particular, we extend the convexity and smoothness modular, and obtain the criterion theorems of the uniform convexity and strict convexity.
- Subjects :
- Pure mathematics
QA299.6-433
T57-57.97
Smoothness (probability theory)
Applied mathematics. Quantitative methods
business.industry
Banach space
MathematicsofComputing_NUMERICALANALYSIS
Modular design
modular spaces
Convexity
banach spaces
geometric constants
TheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITY
business
Constant (mathematics)
Equivalence (measure theory)
Analysis
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 27333957
- Volume :
- 1
- Database :
- OpenAIRE
- Journal :
- European Journal of Mathematical Analysis
- Accession number :
- edsair.doi.dedup.....148ae7a3e377d713de51118c4f5ce695