On Jensen's Additive Inequality for Positive Convex Functions of Selfadjoint Operators in Hilbert Spaces

Authors

  • S. S. Dragomir

Keywords:

Young's Inequality, Convex functions, Jensen's inequality, Selfadjoint operator, Functions of selfadjoint operators.

Abstract

In this paper we obtain some additive 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.

Key words and phrases. Young's Inequality, Convex functions, Jensen's inequality, Selfadjoint operator, Functions of selfadjoint operators.

2000 Mathematics Subject Classification. 47A63, 47A30, 15A60, 26D15, 26D10

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Published

2025-05-18

How to Cite

S. S. Dragomir. (2025). On Jensen’s Additive Inequality for Positive Convex Functions of Selfadjoint Operators in Hilbert Spaces. Jordan Journal of Mathematics and Statistics, 13(4), 601–623. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/835

Issue

Vol. 13 No. 4 (2020)

Section

Articles