On an implicit convexity concept and some integral inequalities
Abstract We introduce a new concept of convexity that depends on a function F : R × R × R × ( 0 , 1 ) → R $F:\mathbb{R}\times\mathbb{R}\times\mathbb {R}\times (0,1)\to\mathbb{R}$ satisfying certain axioms. The presented concept generalizes many kinds of convexity including ε-convex functions, α-conv...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2016-11-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | http://link.springer.com/article/10.1186/s13660-016-1253-3 |