English

Some Hermite-Hadamard type inequalities for the product of two operator preinvex functions

Functional Analysis 2014-12-19 v1

Abstract

In this paper we introduce operator preinvex functions and es- tablish a Hermite-Hadamard type inequality for such functions. We give an estimate of the right hand side of a Hermite-Hadamard type inequality in which some operator preinvex functions of selfadjoint operators in Hilbert spaces are involved. Also some Hermite-Hadamard type inequalities for the product of two operator preinvex functions are given.

Keywords

Cite

@article{arxiv.1412.5958,
  title  = {Some Hermite-Hadamard type inequalities for the product of two operator preinvex functions},
  author = {A. G. Ghazanfari and A. Barani},
  journal= {arXiv preprint arXiv:1412.5958},
  year   = {2014}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1306.0730