Title of article :
Some Jensen s Type Inequalities for Log-Convex Functions of Selfadjoint Operators in Hilbert Spaces
Author/Authors :
Dragomir, S. S. University of the Witwatersrand - School of Computational and Applied Mathematics, South Africa , Dragomir, S. S. Victoria University - School of Engineering Science, Australia
Abstract :
Some Jensen s type inequalities for Log-Convex functions of selfadjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given. Applications for particular cases of interest are also provided.
Keywords :
Selfadjoint operators , positive operators , Jensen s inequality , convex functions , functions of selfadjoint operators
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
