On hermite-hadamard inequalities for h-preinvex functions

By Muhammad Aslam Noor, Muhammad Uzair Awan, Jueyou Li. 2014

97 citations recorded by the source corpus.

The objectives of this paper is to obtain some Hermite-Hadamard type inequalities for h-preinvex functions. Firstly, a new kind of generalized h-convex functions, termed h-preinvex functions, is introduced through relaxing the concept of h-convexity introduced by Varosanec. And the Hermite-Hadamard type inequalities for h-preinvex functions are established under certain conditions. Our results can be viewed as generalization of several previously known results.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/2f7878e6b137f0d636c89c54b2e3acc5cd816697

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In Applied Mathematics

1. Khalida Inayat Noor
2. Muhammad Aslam Noor
3. Y. Chu
4. Udita N. Katugampola
5. Saima Rashid

Citations in the corpus

• Fractional Hermite-Hadamard Inequalities for some New Classes of Godunova-Levin Functions (2014, background): “It is known fact that many important inequalities in the literature are direct consequences of the applications of convex functions, for details see [2,3,4,5, 8,10,11,12,13,14,15,17,18,19].”