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On Frame’s inequalities
In this paper, the errors of the two inequalities in Theorem 3.4.20 in the classic “Analytic Inequalities” by Mitrinovic are corrected, and the corresponding inequalities for circular functions and hyperbolic functions are rebuilt.
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
| Publicado: |
Springer International Publishing
2018
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| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5910469/ https://www.ncbi.nlm.nih.gov/pubmed/29706747 http://dx.doi.org/10.1186/s13660-018-1687-x |
| _version_ | 1783316052953792512 |
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| author | Zhu, Ling |
| author_facet | Zhu, Ling |
| author_sort | Zhu, Ling |
| collection | PubMed |
| description | In this paper, the errors of the two inequalities in Theorem 3.4.20 in the classic “Analytic Inequalities” by Mitrinovic are corrected, and the corresponding inequalities for circular functions and hyperbolic functions are rebuilt. |
| format | Online Article Text |
| id | pubmed-5910469 |
| institution | National Center for Biotechnology Information |
| language | English |
| publishDate | 2018 |
| publisher | Springer International Publishing |
| record_format | MEDLINE/PubMed |
| spelling | pubmed-59104692018-04-24 On Frame’s inequalities Zhu, Ling J Inequal Appl Research In this paper, the errors of the two inequalities in Theorem 3.4.20 in the classic “Analytic Inequalities” by Mitrinovic are corrected, and the corresponding inequalities for circular functions and hyperbolic functions are rebuilt. Springer International Publishing 2018-04-20 2018 /pmc/articles/PMC5910469/ /pubmed/29706747 http://dx.doi.org/10.1186/s13660-018-1687-x Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
| spellingShingle | Research Zhu, Ling On Frame’s inequalities |
| title | On Frame’s inequalities |
| title_full | On Frame’s inequalities |
| title_fullStr | On Frame’s inequalities |
| title_full_unstemmed | On Frame’s inequalities |
| title_short | On Frame’s inequalities |
| title_sort | on frame’s inequalities |
| topic | Research |
| url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5910469/ https://www.ncbi.nlm.nih.gov/pubmed/29706747 http://dx.doi.org/10.1186/s13660-018-1687-x |
| work_keys_str_mv | AT zhuling onframesinequalities |