Some inequalities associated with the Hermite-Hadamard inequalities for operator h-convex functions

  • V. Darvish Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, P. O. Box 47416-146, Babolsar
  • S. S. Dragomir Mathematics, School of Engineering and Science, Victoria University, P. O. Box 14428, Melbourne City, MC 8001
  • H. M. Nazari Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, P. O. Box 47416-146, Babolsar
  • A. Taghavi Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, P. O. Box 47416-146, Babolsar
Keywords: Hermite-Hadamard inequality, operator h-convex function, linear map, trace inequality

Abstract

We introduce the concept of operator h-convex functions for positive linear maps, and prove some Hermite-Hadamard type inequalities for these functions. As applications, we obtain several trace inequalities for operators.

Published
2017-12-22
Section
Articles