Best Simultaneous Approximation of Functions and a Generalized Minimax Theorem
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917645022920704 |
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| author | Tanimoto, Shinji |
| author_facet | Tanimoto, Shinji |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_12662 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Best Simultaneous Approximation of Functions and a Generalized Minimax Theorem Tanimoto, Shinji Combinatorics Classical Analysis and ODEs 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. |
| title | Best Simultaneous Approximation of Functions and a Generalized Minimax Theorem |
| topic | Combinatorics Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2404.12662 |