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.
"Refinements of quasi-arithmetic means inequalities forHilbert space operators." Banach J. Math. Anal. 9 (1) 111 - 126, 2015. https://doi.org/10.15352/bjma/09-1-9