Application and issues in abstract convexity
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866929719464689664 |
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| author | Millán, Reinier Díaz Sukhorukova, Nadezda Ugon, Julien |
| author_facet | Millán, Reinier Díaz Sukhorukova, Nadezda Ugon, Julien |
| contents | The theory of abstract convexity, also known as convexity without linearity, is an extension of the classical convex analysis. There are a number of remarkable results, mostly concerning duality, and some numerical methods, however, this area has not found many practical applications yet. In this paper we study the application of abstract convexity to function approximation. Another important research direction addressed in this paper is the connection with the so-called axiomatic convexity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_09959 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Application and issues in abstract convexity Millán, Reinier Díaz Sukhorukova, Nadezda Ugon, Julien Optimization and Control 90C26, 90C90, 90C47, 65D15 The theory of abstract convexity, also known as convexity without linearity, is an extension of the classical convex analysis. There are a number of remarkable results, mostly concerning duality, and some numerical methods, however, this area has not found many practical applications yet. In this paper we study the application of abstract convexity to function approximation. Another important research direction addressed in this paper is the connection with the so-called axiomatic convexity. |
| title | Application and issues in abstract convexity |
| topic | Optimization and Control 90C26, 90C90, 90C47, 65D15 |
| url | https://arxiv.org/abs/2202.09959 |