Inequalities of Hermite-Hadamard type for extended $s$-convex functions and applications to means

By Bo-Yan Xi, Feng Qi (祁锋). 2014

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In the paper, the authors introduce a new concept "extended $s$-convex functions", establish some new integral inequalities of Hermite-Hadamard type for this kind of functions, and apply these inequalities to derive some inequalities of special means.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/d75f66854fce6553fefc4a8ccbb6dc897a4ba438