Best approximation in b-modular spaces

Autor: Hiba Adel Jabbar, Samira Naji Kadhim, Salwa Salman Abed
Jazyk: Arabic<br />English
Rok vydání: 2024
Předmět:
Zdroj: Baghdad Science Journal, Vol 21, Iss 3 (2024)
Druh dokumentu: article
ISSN: 2078-8665
2411-7986
DOI: 10.21123/bsj.2023.8230
Popis: In this paper, some basic notions and facts in the b-modular space similar to those in the modular spaces as a type of generalization are given. For example, concepts of convergence, best approximate, uniformly convexity etc. And then, two results about relation between semi compactness and approximation are proved which are used to prove a theorem on the existence of best approximation for a semi-compact subset of b-modular space.
Databáze: Directory of Open Access Journals