English

New inequalities of Hermite-Hadamard type for functions whose second derivatives absolute values are convex and quasi-convex

Classical Analysis and ODEs 2010-05-05 v1

Abstract

In this paper, we establish several new inequalities for twice differantiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality. Some applications for special means of real numbers are also provided.

Keywords

Cite

@article{arxiv.1005.0451,
  title  = {New inequalities of Hermite-Hadamard type for functions whose second derivatives absolute values are convex and quasi-convex},
  author = {M. Z. Sarikaya and A. Saglam and H. Yildirim},
  journal= {arXiv preprint arXiv:1005.0451},
  year   = {2010}
}