Results 11 to 20 of about 76,535 (61)
Analysis of the energy decay of a viscoelasticity type equation
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper, we study the evolution of the energy density of a sequence of solutions of a problem related to a viscoelasticity model where the viscosity term is a pseudo-differential operator of order 2α with α ∈ (0, 1).
Atallah-Baraket Amel, Trabelsi Maryem
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Non-commutative Callebaut inequality [PDF]
Linear Algebra Appl. 436 (2012), no. 9, 3347-3353, 2011 We present an operator version of the Callebaut inequality involving the interpolation paths and apply it to the weighted operator geometric means. We also establish a matrix version of the Callebaut inequality and as a consequence obtain an inequality including the Hadamard product of matrices.
arxiv +1 more source
Noncommutative Blackwell-Ross martingale inequality [PDF]
Infin. Dimens. Anal. Quantum Probab. Relat. Top. 21 (2018), no. 1,
1850005, 9 pp, 2017 We establish a noncommutative Blackwell--Ross inequality for supermartingales under a suitable condition which generalize Khan's works to the noncommutative setting. We then employ it to deduce an Azuma-type inequality.
arxiv +1 more source
A posteriori analysis of the spectral element discretization of heat equation
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 In this paper, we present a posteriori analysis of the discretization of the heat equation by spectral element method. We apply Euler’s implicit scheme in time and spectral method in space.
Chorfi Nejmeddine +2 more
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Berezin number inequalities for operators
Concrete Operators, 2019 The Berezin transform à of an operator A, acting on the reproducing kernel Hilbert space ℋ = ℋ (Ω) over some (non-empty) set Ω, is defined by Ã(λ) = 〉Aǩ λ, ǩ λ〈 (λ ∈ Ω), where k⌢λ=kλ‖kλ‖${\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\frown ...
Bakherad Mojtaba, Garayev Mubariz T.
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A simulation algorithm for a single server retrial queuing system with batch arrivals
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 Many systems of real word are modeled by retrial queuing system with batch arrivals. Analytical formulas for this class of systems are complicated and address only particular cases.
Florea Ion, Nǎnǎu Corina-Ştefania
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The norm attainment problem for functions of projections [PDF]
arXiv, 2021 The paper is concerned with the problem of identifying the norm attaining operators in the von Neumann algebra generated by two orthogonal projections on a Hilbert space. This algebra contains every skew projection on that Hilbert space and hence the results of the paper also describe functions of skew projections and their adjoints that attain the ...
arxiv
On Reversing Operator Choi-Davis-Jensen inequality [PDF]
arXiv, 2021 In this paper, we first provide a better estimate of the second inequality in Hermite-Hadamard inequality. Next, we study the reverse of the celebrated Davis-Choi-Jensen's inequality. Our results are employed to establish a new bound for the operator Kantorovich inequality.
arxiv
Euclidean operator radius inequalities of $d$-tuple operators and operator matrices [PDF]
arXiv, 2023 In this paper, we develop several Euclidean operator radius inequalities of $d$-tuple operators, as well as the sum and the product of $d$-tuple operators. Also, we obtain a power inequality for the Euclidean operator radius. Further, we develop Euclidean operator radius inequalities of $2\times 2$ operator matrices whose entries are $d$-tuple ...
arxiv
Grothendieck's inequality in the noncommutative Schwartz space [PDF]
, 2016 In the spirit of Grothendieck's famous inequality from the theory of Banach spaces, we study a sequence of inequalities for the noncommutative Schwartz space, a Fr\'echet algebra of smooth operators. These hold in non-optimal form by a simple nuclearity argument. We obtain optimal versions and reformulate the inequalities in several different ways.
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