Results 21 to 30 of about 251 (77)
Hardy-Hilbert's inequality and power inequalities for Berezin numbers of operators
, 2016 We give operator analogues of some classical inequalities, including Hardy and HardyHilbert type inequalities for numbers. We apply these operator forms of such inequalities for proving some power inequalities for the so-called Berezin number of self ...
M. Garayev, M. Gürdal, Arzu Okudan
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Some new operator inequalities
, 2020 In this article, we present some new inequalities for positive linear mappings that can be viewed as super multiplicative inequalities. As applications, we deduce some numerical radius inequalities.
M. Sababheh +2 more
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Extending a result of Haynsworth
Journal of Mathematical Inequalities, 2020 Haynsworth [4] refined a determinant inequality for two positive definite matrices. We extend Haynsworth’s result to more than two positive definite matrices and obtain some inequalities for sum of positive definite matrices.
Qian Li, Qingwen Wang, S. Dong
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Trace inequalities for positive operators via recent refinements and reverses of Young’s inequality
Special Matrices, 2018 In this paper we obtain some trace inequalities for positive operators via recent refinements and reverses of Young’s inequality due to Kittaneh-Manasrah, Liao-Wu-Zhao, Zuo-Shi-Fujii, Tominaga and Furuichi.
Dragomir S. S.
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The Riemannian mean and matrix inequalities related to the Ando-Hiai inequality and chaotic order
, 2012 The Riemannian mean on the convex cone of positive definite matrices is a kind of geometric mean of n -matrices which is an extension of the geometric mean of two-matrices.
T. Yamazaki
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Hermite-Hadamard type inequalities for operator (p,h)-convex functions
Journal of Mathematical Inequalities, 2020 Motivated by the recent work on convex functions and operator convex functions, we investigate the Hermite-Hadamard inequalities for operator (p,h) -convex functions. We also present the estimates of both sides of the Hermite-Hadamard type inequality for
Zhi ei Hao, L. B. Li
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Some Hermite-Hadamard type inequalities for operator convex functions and positive maps
Special Matrices, 2019 In this paper we establish some inequalities of Hermite-Hadamard type for operator convex functions and positive maps. Applications for power function and logarithm are also provided.
Dragomir S. S.
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The Minimum Numbers for Certain Positive Operators
, 2020 In this paper we give upper and lower bounds of the infimum of k such that kI + 2Re(T ⊗ Sm) is positive, where Sm is the m ×m matrix whose entries are all 0’s except on the superdiagonal where they are all 1’s and T ∈ B(H) for some Hilbert space H.
C. Suen
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, 2020 Consider the quadratic weighted geometric mean x ν y := ∣∣ ∣∣yx−1∣∣ν x ∣∣ 2 for invertible elements x, y in a Hermitian unital Banach ∗ -algebra and real number ν . In this paper, by utilizing a result of Cartwright and Field, we obtain various upper and
S. Dragomir
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On a class of shift-invariant subspaces of the Drury-Arveson space
Concrete Operators, 2018 In the Drury-Arveson space, we consider the subspace of functions whose Taylor coefficients are supported in a set Y⊂ ℕd with the property that ℕ\X + ej ⊂ ℕ\X for all j = 1, . . . , d.
Arcozzi Nicola, Levi Matteo
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