- Journal of New Theory
- Issue: 5
- THE HERMITE-HADAMARD TYPE INEQUALITIES FOR OPERATOR m-CONVEX FUNCTIONS IN HILBERT SPACE
THE HERMITE-HADAMARD TYPE INEQUALITIES FOR OPERATOR m-CONVEX FUNCTIONS IN HILBERT SPACE
Authors : Yeter Erdaş, Erdal Unluyol, Seren Salaş
Pages : 92-100
View : 14 | Download : 5
Publication Date : 2015-06-01
Article Type : Research
Abstract :− In this paper, we first define operators m-convex functions for positive, bounded, selfadjoint operators in Hilbert space via m-convex functions. Secondly, we establish some new theoremsfor them. Finally, we obtain the Hermite-Hadamard type inequalities for the product two operatorsm-convex functions in Hilbert spaceKeywords : − The Hermite-Hadamard inequality, m-convex functions, operator m-convex functions, selfadjoint operator, inner product space, Hilbert space