A new Hermite – Hadamard type inequality and an application to quasi-Einstein metrics
We firstly establish a new generalization of the classical Hermite – Hadamard inequality for a real-valued convex function. Then the convexity of the matrix function g(A) = f(det A) is proved under certain conditions on the function f and the matrix A. Based on these, we derive a new Hermite – Hadam...
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| Date: | 2014 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2014
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| Series: | Нелінійні коливання |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/177108 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | A new Hermite – Hadamard type inequality and an application to quasi-Einstein metrics / Xiang Gao // Нелінійні коливання. — 2014. — Т. 17, № 4. — С. 558-573 — Бібліогр.: 9 назв. — англ. |