English

On new general integral inequalities for h- convex functions

Classical Analysis and ODEs 2012-07-11 v1

Abstract

In this paper, we derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae for functions whose derivatives in absolute value at certain power are h-convex and we point out the results for some special classes of functions. Some applications to special means of real numbers are also given.

Keywords

Cite

@article{arxiv.1207.2212,
  title  = {On new general integral inequalities for h- convex functions},
  author = {Imdat Iscan},
  journal= {arXiv preprint arXiv:1207.2212},
  year   = {2012}
}

Comments

18 pages

R2 v1 2026-06-21T21:33:06.129Z