Results 41 to 50 of about 1,171 (115)
Sesquilinear version of numerical range and numerical radius
Acta Universitatis Sapientiae: Mathematica, 2017 In this paper by using the notion of sesquilinear form we introduce a new class of numerical range and numerical radius in normed space 𝒱, also its various characterizations are given. We apply our results to get some inequalities.
Moradi Hamid Reza +3 more
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Remarks on an operator Wielandt inequality
, 2015 Let $A$ be a positive operator on a Hilbert space $\mathcal{H}$ with $00.$$ We consider several upper bounds for $\frac{1}{2}|\Gamma+\Gamma^{*}|$.
Zhang, Pingping
core +2 more sources
Some inequalities involving operator monotone functions and operator means
, 2016 In this paper we show that if f : [0,∞) → [0,∞) is an operator monotone function and A,B are positive operators such that 0 < pA B qA , then for all α ∈ [0,1] f (A) α f (B) max{S(p),S(q)} f (A αB), where S(t) is the so called Specht’s ratio, and α is α ...
M. Ghaemi, V. Kaleibary
semanticscholar +1 more source
, 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
semanticscholar +1 more source
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
semanticscholar +1 more source
An extension of Hartfiel's determinant inequality
, 2018 Let A and B be n× n positive definite matrices, Hartfiel obtained a lower bound for det(A + B) . In this paper, we first extend his result to det(A + B +C) , where A,B and C are n× n positive definite matrices, and then show a generalization of this to ...
L. Hou, S. Dong
semanticscholar +1 more source
Refined Young inequalities with Specht's ratio
, 2011 In this paper, we show that the $\nu$-weighted arithmetic mean is greater than the product of the $\nu$-weighted geometric mean and Specht's ratio. As a corollary, we also show that the $\nu$-weighted geometric mean is greater than the product of the ...
Furuichi, Shigeru
core +2 more sources
An interpolation of Jensen's inequality and its applications to mean inequalities
, 2018 In this paper, we show operator versions of the inequality due to Cho, Matić and Pečarić in connection to Jensen’s inequality for convex functions. As applications, we obtain an interpolation of the weighted arithmetic-geometric mean inequality for the ...
J. M. Hot, Y. Seo
semanticscholar +1 more source
Enhanced Young-type inequalities utilizing Kantorovich approach for semidefinite matrices
Open MathematicsThis article introduces new Young-type inequalities, leveraging the Kantorovich constant, by refining the original inequality. In addition, we present a range of norm-based inequalities applicable to positive semidefinite matrices, such as the Hilbert ...
Bani-Ahmad Feras +1 more
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Some Hermite-Hadamard type integral inequalities for operator AG-preinvex functions
Acta Universitatis Sapientiae: Mathematica, 2016 In this paper, we introduce the concept of operator AG-preinvex functions and prove some Hermite-Hadamard type inequalities for these functions. As application, we obtain some unitarily invariant norm inequalities for operators.
Taghavi Ali +2 more
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