Results 51 to 60 of about 349,949 (184)
Journal of Inequalities and Applications, 1998 We shall obtain the best bound in Ozeki's inequality which estimates the difference of Cauchy's inequality. We also give an operator version of Ozeki's inequality which extends an inequality on the variance of an operator.
Mori Hideo, Seo Yuki, Izumino Saichi
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Variational-Like Inequality Problem Involving Generalized Cayley Operator
Axioms, 2021 This article deals with the study of a variational-like inequality problem which involves the generalized Cayley operator. We compare our problem with a fixed point equation, and based on it we construct an iterative algorithm to obtain the solution of ...
Zahoor Ahmad Rather +2 more
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Journal of Inequalities and Applications, 2023 In this investigation, we unfold the Jensen–Mercer ( J − M $\mathtt{J-M}$ ) inequality for convex stochastic processes via a new fractional integral operator.
Fahd Jarad +5 more
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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
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Geometric operator inequalities
Linear Algebra and its Applications, 1997 In a given \(C^*\)-algebra there are several interesting subsets (e.g., the set of idempotent elements, the set of selfadjoint invertible elements, the set of nilpotent elements of a given order, the similarity and unitary orbits of elements etc.) that have a differentiable structure and in which the length of curves is measured by means of a Finsler ...
Andruchow, E., Corach, G., Stojanoff, D.
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Nash type inequalities for fractional powers of non-negative self-adjoint operators
, 2004 Assuming that a Nash type inequality is satisfied by a non-negative self-adjoint operator $A$, we prove a Nash type inequality for the fractional powers $A^{\alpha}$ of $A$. Under some assumptions, we give ultracontractivity bounds for the semigroup $(T_{
Bendikov, Alexander, Maheux, Patrick
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Jensen’s inequality for operators without operator convexity
Linear Algebra and its Applications, 2011 We give Jensen's inequality for n-tuples of self-adjoint operators, unital n-tuples of positive linear mappings and real valued continuous convex functions with conditions on the bounds of the operators. We also study operator quasi-arithmetic means under the same conditions.
Pavić, Zlatko +2 more
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Matrix Hermite-Hadamard type inequalities [PDF]
, 2013 We present several matrix and operator inequalities of Hermite-Hadamard type. We first establish a majorization version for monotone convex functions on matrices. We then utilize the Mond-Pecaric method to get an operator version for convex functions. We
Moslehian, Mohammad Sal
core
On a New Hilbert-Hardy-Type Integral Operator and Applications
Journal of Inequalities and Applications, 2010 By applying the way of weight functions and a Hardy's integral inequality, a Hilbert-Hardy-type integral operator is defined, and the norm of operator is obtained.
Yang Bicheng, Liu Xingdong
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Multigrid method for noncoercive parabolic variational inequality
Journal of Inequalities and ApplicationsIn this article, our work is focused on the proof of the uniform convergence of the multigrid method for parabolic variational inequality with a noncoercive operator and its numerical solution.
Mostafa Bahi +3 more
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