New high-dimensional generalizations of Nesbitt's inequality and relative applications
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912302166441984 |
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| author | Zhang, Junfeng Wang, Jintao |
| author_facet | Zhang, Junfeng Wang, Jintao |
| contents | Two kinds of novel generalizations of Nesbitt's inequality are explored in various cases regarding dimensions and parameters in this article. Some other cases are also discussed elaborately by using the semiconcave-semiconvex theorem. The general inequalities are then employed to deduce some alternate inequalities and mathematical competition questions. At last, a relation about Hurwitz-Lerch zeta functions is obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_00005 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | New high-dimensional generalizations of Nesbitt's inequality and relative applications Zhang, Junfeng Wang, Jintao General Mathematics Two kinds of novel generalizations of Nesbitt's inequality are explored in various cases regarding dimensions and parameters in this article. Some other cases are also discussed elaborately by using the semiconcave-semiconvex theorem. The general inequalities are then employed to deduce some alternate inequalities and mathematical competition questions. At last, a relation about Hurwitz-Lerch zeta functions is obtained. |
| title | New high-dimensional generalizations of Nesbitt's inequality and relative applications |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2504.00005 |