@article { author = {Dragomir, Silvestru}, title = {On Jensen's Multiplicative Inequality for Positive Convex Functions of Selfadjoint Operators in Hilbert Spaces}, journal = {Khayyam Journal of Mathematics}, volume = {6}, number = {1}, pages = {119-128}, year = {2020}, publisher = {Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)}, issn = {2423-4788}, eissn = {2423-4788}, doi = {10.22034/kjm.2019.97183}, abstract = {We obtain some multiplicative refinements and reverses of Jensen's inequality for positive convex/concave functions of selfadjoint operators in Hilbert spaces. Natural applications for power and exponential functions are provided.}, keywords = {Young's Inequality,Convex functions,Jensen's inequality,Selfadjoint operator,functions of selfadjoint operators}, url = {https://www.kjm-math.org/article_97183.html}, eprint = {https://www.kjm-math.org/article_97183_0bab1e1807c57ade01a6dbcdeaa87638.pdf} }