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On an implicit convexity concept and some integral inequalities
Journal article   Open access  Peer reviewed

On an implicit convexity concept and some integral inequalities

Bessem Samet
Journal of inequalities and applications, Vol.2016(1), pp.1-16
25/11/2016
DOI: https://doi.org/10.1186/s13660-016-1253-3

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We introduce a new concept of convexity that depends on a function F : R x R x R x (0, 1) -> R satisfying certain axioms. The presented concept generalizes many kinds of convexity including epsilon-convex functions, alpha-convex functions, and h-convex functions. Moreover, some integral inequalities are provided via our notion of convexity.
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https://doi.org/10.1186/s13660-016-1253-3View
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