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izvorni znanstveni rad · 2017

Some mappings related to Levinson’s inequality for Hilbert space operators

dr. sc. Jadranka Mićić Hot, prof. v. š.

Sažetak

We observe properties of some mappings related to the Davis-Choi-Jensen inequality for Hilbert space operators. Using these results, we observe properties of some mappings related to Levinson's operator inequality. Consequently, we obtain several refinements for each of these inequalities.

Ključne riječi

self-adjoint operator convex function Jensen's inequality Levinson's inequality