The best simultaneous approximation in linear 2-normed spaces

2012/05/15 by Mehmet Açıkgöz, Mehmet Acikgoz, Acikgoz, Mehmet
Mathematics · #Approximation Theory and Sequence Spaces #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #math.FA

paper · pdf · doi:10.48550/arxiv.1205.3369

8 pages

arxiv created 2012/05/15 · openalex publication_date 2012/05/15 · arxiv updated 2012/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we shall investigate and analyse a new study on the best simultaneous approximation in the context of linear 2-normed spaces inspired by Elumalai and his coworkers in Elumalai. The basis of this investigation is to extend and refinement the definition of the classical aproximation, best approximation and some related concepts to linear 2-normed spaces.

Related

• Best Simultaneous Approximation of Functions and a Generalized Minimax Theorem
• On \mathcal I and \mathcal I^*-equal convergence in linear 2-normed spaces
• A study on Best Approximation and Banach Algebra in n-normed linear space
• Problems of approximation theory in abstract linear spaces
• On best approximations in Banach spaces from the perspective of orthogonality