Some inequalities involving operator monotone functions and operator means Article Swipe

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Mohammad Bagher Ghaemi , Venus Kaleibary ·

YOU? · · 2016 · Open Access · · DOI: https://doi.org/10.7153/mia-19-55 · OA: W2509687719

In this paper we show that if f : [0,∞) → [0,∞) is an operator monotone function and A,B are positive operators such that 0 < pA B qA , then for all α ∈ [0,1]where S(t) is the so called Specht's ratio, and α is α -geometric mean.Moreover, we present some majorization and norm inequalities for operator monotone functions.Operator monotone decreasing functions are also discussed.