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Some inequalities for operator monotone functions
Annals of the West University of Timisoara: Mathematics and Computer Science, 2022 In this paper we show that, if that the function f : [0, ∞) → 𝔾 is operator monotone in [0, ∞) then there exist b ≥ 0 and a positive measure m on [0, ∞) such that [f(B)-f(A)](B-A)==b(B-A)2+∫0∞s2[∫01[((1-t)A+tB+s)-1(B-A)]2dt]dm(s)\matrix{ {\left[ {f ...
Dragomir Silvestru Sever
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The
EntropyDue to the classifying theorems by Petz and Kubo–Ando, we know that there are bijective correspondences between Quantum Fisher Information(s), operator means, and the class of symmetric, normalized operator monotone functions on the positive half line ...
Paolo Gibilisco
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Axioms, 2023 In the present article, we explore the correlation between the sign of a Liouville–Caputo-type difference operator and the monotone behavior of the function upon which the difference operator acts.
Pshtiwan Othman Mohammed +4 more
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Simplification method for nonlinear equations of monotone type in Banach space
Журнал Средневолжского математического общества, 2021 In a Banach space, we study an operator equation with a monotone operator $T.$ The operator is an operator from a Banach space to its conjugate, and $T=AC,$ where $A$ and $C$ are operators of some classes.
Ryazantseva Irina P.
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Around Operator Monotone Functions [PDF]
Integral Equations and Operator Theory, 2011 We show that the symmetrized product $AB+BA$ of two positive operators $A$ and $B$ is positive if and only if $f(A+B)\leq f(A)+f(B)$ for all non-negative operator monotone functions $f$ on $[0,\infty)$ and deduce an operator inequality. We also give a necessary and sufficient condition for that the composition $f\circ g$ of an operator convex function $
Moslehian, Mohammad Sal, Najafi, Hamed
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Application of operator monotone functions in economics; pp. 42–47 [PDF]
Proceedings of the Estonian Academy of Sciences, 2010 Operator monotone functions play an important role in economics. We show that 2-monotonicity is equivalent to decreasing relative risk premium, a notion recently introduced in microeconomics.
Frank Hansen
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New view of fuzzy aggregations. part I: general information structure for decision-making models [PDF]
Journal of Fuzzy Extension and Applications, 2021 The Ordered Weighted Averaging (OWA) operator was introduced by Yager [57] to provide a method for aggregating inputs that lie between the max and min operators.
Gia Sirbiladze
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Some operator monotone functions [PDF]
Proceedings of the American Mathematical Society, 1972 A short proof is given based on C*-algebra theory for the well-known theorem that if S and Tare bounded selfadjoint operators on a Hubert space such that 0^5^T then Sai|7"a for each0^a 0; and S+e/and T+el are both invertible. Since (S+eI)x converges to Sx in norm when e-0 for each a>0, and since the positive operators in B(%>) form a norm closed set ...
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Some New Harmonically Convex Function Type Generalized Fractional Integral Inequalities
Fractal and Fractional, 2021 In this article, we established a new version of generalized fractional Hadamard and Fejér–Hadamard type integral inequalities. A fractional integral operator (FIO) with a non-singular function (multi-index Bessel function) as its kernel and monotone ...
Rana Safdar Ali +6 more
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Functional voting operators: the non-monotonic case [PDF]
Mathematical Social Sciences, 1993 This paper was written during the first author's visit to the Division of the Humanities and Social Sciences at the California Institute of Technology. Partial financial support was received from the Caltech Laboratory for Experimental Economics and Political Science. Published as Aleskerov, Fuad, and John Duggan.
Aleskerov, Fuad, Duggan, John
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