Volume 3, Issue 1 (6-2022)                   MACO 2022, 3(1): 105-107 | Back to browse issues page

‎ 10.52547/maco.3.1.11
‎ 20.1001.1.27170624.2022.3.1.11.3

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A Note on The Best Approximation in Spaces of Affine Functions
Maysam Maysami Sadr *
Abstract:   (1102 Views)
The proximinality of certain subspaces of spaces of bounded affine functions is proved. The results presented here are some linear versions of an old result due to Mazur. For the proofs we use some sandwich theorems of Fenchel's duality theory.

 
Keywords: Best approximation, convex set, affine function, sandwich theorem.
Full-Text [PDF 84 kb]   (741 Downloads)    
Type of Study: Research Article | Subject: Mathematical Analysis
Published: 2022/10/5
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