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2015 Refinements of quasi-arithmetic means inequalities for Hilbert space operators
Jadranka Mićić
Banach J. Math. Anal. 9(1): 111-126 (2015). DOI: 10.15352/bjma/09-1-9


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.


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Jadranka Mićić. "Refinements of quasi-arithmetic means inequalities for Hilbert space operators." Banach J. Math. Anal. 9 (1) 111 - 126, 2015.


Published: 2015
First available in Project Euclid: 19 December 2014

zbMATH: 06430408
MathSciNet: MR3296089
Digital Object Identifier: 10.15352/bjma/09-1-9

Primary: 47A63
Secondary: 47A64 , 47B15

Keywords: Jensen's operator inequality , ‎positive linear mapping , power mean , ‎quasi-arithmetic mean , ‎self-adjoint operator

Rights: Copyright © 2015 Tusi Mathematical Research Group

Vol.9 • No. 1 • 2015
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