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- W3207522229 abstract "In this article, we present some operator inequalities via arbitrary operator means and unital positive linear maps. For instance, we show that if $A,B in {mathbb B}({mathscr H}) $ are two positive invertible operators such that $ 0 < m leq A,B leq M $ and $sigma$ is an arbitrary operator mean, then begin{align*} Phi^{p}(Asigma B) leq K^{p}(h) Phi^{p}(Bsigma^{perp} A), end{align*} where $sigma^{perp}$ is dual $sigma$, $pgeq0$ and $K(h)=frac{(M+m)^{2}}{4 Mm}$ is the classical Kantorovich constant. We also generalize the above inequality for two arbitrary means $sigma_{1},sigma_{2}$ which lie between $sigma$ and $sigma^{perp}$." @default.
- W3207522229 created "2021-10-25" @default.
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- W3207522229 date "2021-06-30" @default.
- W3207522229 modified "2023-09-26" @default.
- W3207522229 title "New generalized inequalities using arbitrary operator means and their duals" @default.
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- W3207522229 doi "https://doi.org/10.52846/ami.v48i1.1179" @default.
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