Some new estimates of the ‘Jensen gap’
Abstract Let ( μ , Ω ) $( \mu,\Omega ) $ be a probability measure space. We consider the so-called ‘Jensen gap’ J ( φ , μ , f ) = ∫ Ω φ ( f ( s ) ) d μ ( s ) − φ ( ∫ Ω f ( s ) d μ ( s ) ) $$ J ( \varphi,\mu,f ) = \int_{\Omega}\varphi \bigl( f ( s ) \bigr)\,d\mu ( s ) -\varphi \biggl( \int_{\Omega }f...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2016-02-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-016-0985-4 |