English

Hermite--Hadamard type inequalities via differentiable $h_\varphi$-preinvex functions for Fractional Integrals

Classical Analysis and ODEs 2015-12-14 v1

Abstract

In this paper, we consider a new class of convex functions which is called hφh_{\varphi}-preinvex functions. We prove several Hermite--Hadamard type inequalities for differentiable hφh_\varphi-preinvex functions via Fractional Integrals. Some special cases are also discussed. Our results extend and improve the corresponding ones in the literature.

Keywords

Cite

@article{arxiv.1512.03730,
  title  = {Hermite--Hadamard type inequalities via differentiable $h_\varphi$-preinvex functions for Fractional Integrals},
  author = {Abdullah Akkurt and Hüseyin Yildirim},
  journal= {arXiv preprint arXiv:1512.03730},
  year   = {2015}
}