A simple proof of Popoviciu's inequality
T. Popoviciu [5] has proved in 1965 the following inequality relating the values of a convex function \(f:I\rightarrow\mathbb{R}\) at the weighted arithmetic means of the subfamilies of a given family of points \(x_{1},...,x_{n}\in I\):\begin{align*}& \sum\limits_{1\leq i_{1}<\cdots <i_{p}...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2008-08-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/884 |