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

− 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 functi...

Full description

Bibliographic Details
Main Authors: Yeter Erdaş, Erdal Unluyol, Seren Salaş
Format: Article
Language:English
Published: Naim Çağman 2015-06-01
Series:Journal of New Theory
Subjects:
− the hermite-hadamard inequality
m-convex functions
operator m-convex functions
selfadjoint operator
inner product space
hilbert space
Online Access:https://dergipark.org.tr/en/download/article-file/407453

Internet

https://dergipark.org.tr/en/download/article-file/407453

Similar Items