English

Hermite-Hadamard and Simpson-like type inequalities for differentiable harmonically convex functions

Classical Analysis and ODEs 2013-10-21 v1

Abstract

In this paper, a new identity for differentiable functions is derived. A consequence of the identity is that the author establishes some new general inequalities containing all of the Hermite-Hadamard and Simpson-like type for functions whose derivatives in absolute value at certain power are harmonically convex. Some applications to special means of real numbers are also given.

Keywords

Cite

@article{arxiv.1310.4851,
  title  = {Hermite-Hadamard and Simpson-like type inequalities for differentiable harmonically convex functions},
  author = {İmdat İşcan},
  journal= {arXiv preprint arXiv:1310.4851},
  year   = {2013}
}

Comments

15 pages

R2 v1 2026-06-22T01:49:14.666Z