Asymptotic expansions of stable, stabilizable and stabilized means with applications
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866917720385126400 |
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| author | Mihoković, Lenka |
| author_facet | Mihoković, Lenka |
| contents | In this paper we present a complete asymptotic expansion of a symmetric homogeneous stable (balanced), stabilizable and stabilized mean. By including known asymptotic expansions of parametric means it is shown how the obtained coefficients are used to solve the problem of identifying stable means within classes of parametric means under consideration, how to disprove some mean is stabilizable or stabilized and how to obtain best possible parameters such that given mean is stabilizable with some pair of parametric means. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_05217 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Asymptotic expansions of stable, stabilizable and stabilized means with applications Mihoković, Lenka Classical Analysis and ODEs 26E60, 41A60, 39B22 In this paper we present a complete asymptotic expansion of a symmetric homogeneous stable (balanced), stabilizable and stabilized mean. By including known asymptotic expansions of parametric means it is shown how the obtained coefficients are used to solve the problem of identifying stable means within classes of parametric means under consideration, how to disprove some mean is stabilizable or stabilized and how to obtain best possible parameters such that given mean is stabilizable with some pair of parametric means. |
| title | Asymptotic expansions of stable, stabilizable and stabilized means with applications |
| topic | Classical Analysis and ODEs 26E60, 41A60, 39B22 |
| url | https://arxiv.org/abs/2303.05217 |