Results 31 to 40 of about 1,391 (258)
Two operator functions with monotone property [PDF]
Proceedings of the American Mathematical Society, 1991 This paper proves that F ( p ) = ( B r A p B r ) ( 1
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Extracta Mathematicae, 2022 For a continuous and positive function w (λ), λ > 0 and µ a positive measure on (0, ∞) we consider the following integral transform D (w, µ) (T ) := ∫0∞w (λ) (λ + T ) −1 dµ (λ) , where the integral is assumed to exist for T a positive operator on a ...
S.S. Dragomir
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Monotone operator functions on arbitrary sets [PDF]
Proceedings of the American Mathematical Society, 1980 We give a new proof of a result of Chandler which shows that a monotone operator function defined on a set J admits an analytic continuation to the upper and lower half-planes, and that this continuation is a Pick function, real and regular on the convex hull of J.
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A Parameter-tunable Triangular Norm with Monotonic Genes
Journal of Harbin University of Science and Technology, 2023 In order to study the optimization of Zadeh operator, a definition of parameter-tunable triangular norm with monotonic genes is given.First, we defined a kind of triangular norm Fλin the general sense generated by monotone functions using elementary ...
WU Lunhua, ZHAO Hui, WANG Yue
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Operator monotone functions and Löwner functions of several variables [PDF]
Annals of Mathematics, 2012 We prove generalizations of L wner's results on matrix monotone functions to several variables. We give a characterization of when a function of $d$ variables is locally monotone on $d$-tuples of commuting self-adjoint $n$-by-$n$ matrices. We prove a generalization to several variables of Nevanlinna's theorem describing analytic functions that map the
Agler, Jim, McCarthy, John E, Young, N J
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Journal of Inequalities and Applications, 2021 In this paper, using a Bregman distance technique, we introduce a new single projection process for approximating a common element in the set of solutions of variational inequalities involving a pseudo-monotone operator and the set of common fixed points
Lateef Olakunle Jolaoso +2 more
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Entropy, 2021 Local quantum uncertainty and interferometric power were introduced by Girolami et al. as geometric quantifiers of quantum correlations. The aim of the present paper is to discuss their properties in a unified manner by means of the metric adjusted skew ...
Paolo Gibilisco +2 more
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A Comprehensive Review on the Fejér-Type Inequality Pertaining to Fractional Integral Operators
Axioms, 2023 A review of the results on the fractional Fejér-type inequalities, associated with different families of convexities and different kinds of fractional integrals, is presented.
Muhammad Tariq +2 more
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Monotone operators and "bigger conjugate" functions
, 2011 We study a question posed by Stephen Simons in his 2008 monograph involving "bigger conjugate" (BC) functions and the partial infimal convolution. As Simons demonstrated in his monograph, these function have been crucial to the understanding and advancement of the state-of-the-art of harder problems in monotone operator theory, especially the sum ...
Bauschke, Heinz H. +3 more
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Operator monotonicity of some functions
Linear Algebra and its Applications, 2015 16 ...
Nagisa, Masaru, Wada, Shuhei
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