A variant of Jensen’s inequality of Mercer’s type for operators with applications

By A. Matković, Josip E. Pecaric, I. Peric. 2006

152 citations recorded by the source corpus.

A variant of Jensen's operator inequality for convex functions, which is a generalization of Mercer's result, is proved. Obtained result is used to prove a monotonicity property for Mercer's power means for operators, and a comparison theorem for quasi-arithmetic means for operators.

Subfields: Applied Mathematics, Numerical Analysis, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/7a2b625b343cb6c8db6d6d021d8fbce1bafaf55e

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In Applied Mathematics

1. Sever Silvestru Dragomir
2. Mohammad Wajeeh Alomari
3. Mohammad Sal Moslehian
4. Y. Chu
5. Ali Zamani
6. M. Sarıkaya
7. M. Adil Khan
8. T. Yamazaki

In Numerical Analysis

1. Sever Silvestru Dragomir
2. Y. Chu

In Statistics and Probability

1. Sever Silvestru Dragomir

Citations in the corpus

• Čebyšev's type inequalities for functions of selfadjoint operators in Hilbert spaces (2010, unknown): “For other results see [14] and [25].”
• Hermite–Hadamard’s type inequalities for convex functions of selfadjoint operators in Hilbert spaces (2012, background): “For other results, see [23], [16], [22] and [19].”