English

New Hermite-Hadamard type integral inequalities for convex functions and theirs applications

Classical Analysis and ODEs 2017-11-28 v2

Abstract

In this paper, we establish (presumably new type) integral inequalities for convex functions via the Hermite--Hadamard's inequalities. As applications, we apply these new inequalities to construct inequalities involving special means of real numbers, some error estimates for the formula midpoint are given. Finally, new inequalities for some special and qq-special functions are also pointed out.

Keywords

Cite

@article{arxiv.1702.02988,
  title  = {New Hermite-Hadamard type integral inequalities for convex functions and theirs applications},
  author = {Khaled Mehrez and Praveen Agarwal},
  journal= {arXiv preprint arXiv:1702.02988},
  year   = {2017}
}