Some refinements of Jensen's inequality (Q1206871)
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scientific article; zbMATH DE number 150613
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some refinements of Jensen's inequality |
scientific article; zbMATH DE number 150613 |
Statements
Some refinements of Jensen's inequality (English)
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1 April 1993
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Let \(C\) be a convex subset of a real vector space and let \(f\) be a convex function on \(C\). Let \(x_ i\in C\), \(p_ i\geq0\), \(\sum^ n_{i=1}p_ i=1\). The author inserts some expressions between 0 and \(\sum^ n_{i=1}p_ if(x_ i)-f\left(\sum^ n_{i=1}p_ ix_ i\right)\).
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Jensen inequality
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convex function
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