Banach Journal of Mathematical Analysis
- Banach J. Math. Anal.
- Volume 9, Number 1 (2015), 111-126.
Refinements of quasi-arithmetic means inequalities for Hilbert space operators
In this paper some inequalities involving quasi-arithmetic means for a continuous field of self-adjoint operators, a field of positive linear mappings and continuous strictly monotone functions are refined. These refined converses are presented by using the Mond-Pečarić method improvement. Obtained results are applied to refine selected inequalities with power functions.
Banach J. Math. Anal., Volume 9, Number 1 (2015), 111-126.
First available in Project Euclid: 19 December 2014
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Mićić, Jadranka. Refinements of quasi-arithmetic means inequalities for Hilbert space operators. Banach J. Math. Anal. 9 (2015), no. 1, 111--126. doi:10.15352/bjma/09-1-9. https://projecteuclid.org/euclid.bjma/1419000581