Jordan-Type Inequalities and Stratification
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914756262100992 |
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| author | Micovic, Milos Malesevic, Branko |
| author_facet | Micovic, Milos Malesevic, Branko |
| contents | In this paper, two double Jordan-type inequalities are introduced that generalize some previously established inequalities. As a result, some new upper and lower bounds and approximations of the sinc function are obtained. This extension of Jordan's inequality is enabled by considering the corresponding inequalities through the concept of stratified families of functions. Based on this approach, some optimal approximations of the sinc function are derived by determining the corresponding minimax approximants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_19693 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Jordan-Type Inequalities and Stratification Micovic, Milos Malesevic, Branko General Mathematics 41A44, 26D05 In this paper, two double Jordan-type inequalities are introduced that generalize some previously established inequalities. As a result, some new upper and lower bounds and approximations of the sinc function are obtained. This extension of Jordan's inequality is enabled by considering the corresponding inequalities through the concept of stratified families of functions. Based on this approach, some optimal approximations of the sinc function are derived by determining the corresponding minimax approximants. |
| title | Jordan-Type Inequalities and Stratification |
| topic | General Mathematics 41A44, 26D05 |
| url | https://arxiv.org/abs/2403.19693 |