Best Simultaneous Approximation of Functions and a Generalized Minimax Theorem
Combinatorics
2024-04-22 v1 Classical Analysis and ODEs
Abstract
Best simultaneous approximation (BSA) for finitely or infinitely many functions are considered under the uniform norm and other important norms. Characterization theorems for a BSA from a finite-dimensional subspace are obtained by a generalized minimax theorem. From the characterization theorem a strong unicity theorem is also deduced for a BSA.
Keywords
Cite
@article{arxiv.2404.12662,
title = {Best Simultaneous Approximation of Functions and a Generalized Minimax Theorem},
author = {Shinji Tanimoto},
journal= {arXiv preprint arXiv:2404.12662},
year = {2024}
}
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8 pages