Results 11 to 20 of about 382,466 (311)
Some generalizations of operator inequalities for positive linear maps
Journal of Inequalities and Applications, 2016 In this paper, we generalize some operator inequalities for positive linear maps due to Lin (Stud. Math. 215:187-194, 2013) and Zhang (Banach J. Math. Anal. 9:166-172, 2015).
Jianming Xue, Xingkai Hu
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More operator inequalities for positive linear maps [PDF]
Banach Journal of Mathematical Analysis, 2015 Some operator inequalities for positive linear maps are presented. These inequalities improve and generalize the corresponding results due to Fu and He [Linear Multilinear Algebra, doi: 10.1080/03081087.2014.880432.].
Pingping Zhang
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Generalized Refinements of Reversed AM-GM Operator Inequalities for Positive Linear Maps
Axioms, 2023 We shall present some more generalized and further refinements of reversed AM-GM operator inequalities for positive linear maps due to Xue’s and Ali’s publications.
Yonghui Ren
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Further refinements of reversed AM–GM operator inequalities
Journal of Inequalities and Applications, 2020 In this paper, we shall give further improvements of reversed AM–GM operator inequalities due to Yang et al. (Math. Slovaca 69:919–930, 2019) for matrices and positive linear map.
Yonghui Ren, Pengtong Li
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A note on the theorem on differential inequalities [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2005 It is proved that if a linear operator $\ell:C([a,b];\mathbb{R})\rightarrow L([a,b];\mathbb{R})$ is nonpositive and for the initial value problem $$u''(t)=\ell(u)(t)+q(t),\quad u(a)=c_1,\quad u'(a)=c_2 $$ the theorem on differential inequalities is valid,
H. Stepankova
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On operator inequalities and linear combinations of operators
Linear Algebra and its Applications, 1991 Given bounded linear operators \(A_1,\dots, A_k\), \(C\), and \(P\) on a Hilbert space, the author gives necessary and sufficient conditions for operator inequalities of type \(A_1 PA^*_1+\cdots A_k PA^*_k\geq CPC^*\) with \(P\geq 0\).
J. Hou
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Weighted norm inequalities for the bilinear maximal operator on variable Lebesgue spaces [PDF]
Publicacions matemàtiques, 2019 We extend the theory of weighted norm inequalities on variable Lebesgue spaces to the case of bilinear operators. We introduce a bilinear version of the variable $\A_\pp$ condition, and show that it is necessary and sufficient for the bilinear maximal ...
Cruz-Uribe, David +1 more
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On integral inequalities associated with a linear operator equation [PDF]
Proceedings of the American Mathematical Society, 1984 In this paper we apply control theoretic concepts to formulate and solve a generalized problem for the determination of best possible constants in integral inequalities. We investigate the problem of existence of functions for which the best constant is attained, and also the conditions satisfied by these functions.
M. Subrahmanyam
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Hermite-Hadamard type inequalities for operator geometrically convex functions [PDF]
Monatshefte für Mathematik (Print), 2015 In this paper, we introduce the concept of operator geometrically convex functions for positive linear operators and prove some Hermite-Hadamard type inequalities for these functions. As applications, we obtain trace inequalities for operators which give
Darvish, Vahid +3 more
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A Hilbert-Type Linear Operator with the norm and Its Applications
Journal of Inequalities and Applications, 2009 A Hilbert-type linear operator T:ℓϕp→ℓψp is defined. As for applications, a more precise operator inequality with the norm and its equivalent forms are deduced. Moreover, three equivalent reverses from them are given as
Wuyi Zhong
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