Title of article :
Operator Jensen's Type Inequalities for Convex Functions
Author/Authors :
Shah Hosseini, M Shahr-e-Qods Branch - Islamic Azad University , Moradi, H.R Mashhad Branch- Islamic Azad University , Moosavi, B Safadasht Branch - Islamic Azad University
Abstract :
This paper is mainly devoted to studying operator Jensen
inequality. More precisely, a new generalization of Jensen inequality and
its reverse version for convex (not necessary operator convex) functions
have been proved. Several special cases are discussed as well.
Keywords :
positive operators , self-adjoint operators , convex functions , Jensen's inequality , Operator order , Primary 47A63 , Secondary 26A51
Journal title :
Journal of Mathematical Extension(IJME)
