Results 21 to 30 of about 555 (45)
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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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
Trace inequalities of Cassels and Grüss type for operators in Hilbert spaces
Acta Universitatis Sapientiae: Mathematica, 2017 Some trace inequalities of Cassels type for operators in Hilbert spaces are provided. Applications in connection to Grüss inequality and for convex functions of selfadjoint operators are also given.
Dragomir Sever S.
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Some Hermite–Hadamard Type Inequality for the Operator p,P‐Preinvex Function
Journal of Mathematics, Volume 2025, Issue 1, 2025.The goal of the article is to introduce the operator p,P‐preinvex function and present several features of this function. Also, we establish some Hermite–Hadamard type inequalities for this function.
Mahsa Latifi Moghadam +3 more
wiley +1 more source
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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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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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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Monotone matrix functions of successive orders [PDF]
, 2004 This paper extends a result obtained by Wigner and von Neumann. We prove that a non-constant real-valued function, f(x), in C^3(I) where I is an interval of the real line, is a monotone matrix function of order n+1 on I if and only if a related, modified
Nayak, Suhas
core
An Operator Extension of Čebyšev Inequality
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 Some operator inequalities for synchronous functions that are related to the čebyšev inequality are given. Among other inequalities for synchronous functions it is shown that ∥ø(f(A)g(A)) - ø(f(A))ø(g(A))∥ ≤ max{║ø(f2(A)) - ø2(f(A))║, ║ø)G2(A)) - ø2(g(A))
Moradi Hamid Reza +2 more
doaj +1 more source