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.
Dragomir, S. Sever. (2020). On Jensen's Multiplicative Inequality for Positive Convex Functions of Selfadjoint Operators in Hilbert Spaces. Khayyam Journal of Mathematics, 6(1), 119-128. https://doi.org/10.22034/kjm.2019.97183
MLA
Dragomir, S. Sever. "On Jensen's Multiplicative Inequality for Positive Convex Functions of Selfadjoint Operators in Hilbert Spaces", Khayyam Journal of Mathematics, 6, 1, 2020, 119-128. doi: 10.22034/kjm.2019.97183
HARVARD
Dragomir S. Sever. (2020). 'On Jensen's Multiplicative Inequality for Positive Convex Functions of Selfadjoint Operators in Hilbert Spaces', Khayyam Journal of Mathematics, 6(1), pp. 119-128. doi: 10.22034/kjm.2019.97183
CHICAGO
S. Sever Dragomir, "On Jensen's Multiplicative Inequality for Positive Convex Functions of Selfadjoint Operators in Hilbert Spaces," Khayyam Journal of Mathematics, 6 1 (2020): 119-128, doi: 10.22034/kjm.2019.97183
VANCOUVER
Dragomir S. Sever. On Jensen's Multiplicative Inequality for Positive Convex Functions of Selfadjoint Operators in Hilbert Spaces. Khayyam J. Math. 2020;6(1):119-128. doi: 10.22034/kjm.2019.97183
