Some New Hermite-Hadamard-Fejer Type Inequlaties via k-Fractional Integrals Concerning Differentiable Generalized Relative Semi-(r; m, h1, h2)-Preinvex Mappings

Authors

  • Miftar Ramosacaj University of Vlora "Ismail Qemali", Faculty of Technical Science, Department of Mathematics, Vlora, Albania
  • Artion Kashuri University of Vlora "Ismail Qemali", Faculty of Technical Science, Department of Mathematics, Vlora, Albania
  • Rozana Liko University of Vlora "Ismail Qemali", Faculty of Technical Science, Department of Mathematics, Vlora, Albania

DOI:

https://doi.org/10.29020/nybg.ejpam.v11i1.3196

Keywords:

Hermite-Hadamard inequality, Hermite-Hadamard-Fejer inequality, Holder's inequality, Minkowski inequality, power mean inequality, k-fractional integrals, m-invex

Abstract

In this article, we first presented a new identity concerning differentiable mappings defined on m-invex set via k-fractional integrals. By using the notion of generalized relative semi-(r;m,h1,h2)-preinvexity and the obtained identity as an auxiliary result, some new estimates with respect to Hermite-Hadamard-Fejer type inequalities via k-fractional integrals are established. It is pointed out that some new special cases can be deduced from main results of the article.

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Published

2018-01-30

Issue

Vol. 11 No. 1: (January 2018)

Section

Mathematical Physics

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How to Cite

Some New Hermite-Hadamard-Fejer Type Inequlaties via k-Fractional Integrals Concerning Differentiable Generalized Relative Semi-(r; m, h1, h2)-Preinvex Mappings. (2018). European Journal of Pure and Applied Mathematics, 11(1), 51-68. https://doi.org/10.29020/nybg.ejpam.v11i1.3196