Results 11 to 20 of about 14,787 (294)

Operator Aczél inequality

Linear Algebra and its Applications, 2011
p pages; to appear in Linear Algebra Appl. (LAA)
Mohammad Sal Moslehian, Moslehian, Mohammad Sal   +1 more
openaire   +3 more sources

On an operator inequality

Linear Algebra and its Applications, 2000
\textit{F. Hansen} [Proc. Am. Math. Soc. 125, No. 7, 2093-2102 (1997; Zbl 0870.47013)] gave a characterization of operator convex functions in terms of Jensen's operator inequality. Following investigations by \textit{S. Friedland} and \textit{M. Katz} [Linear Algebra Appl. 85, 185-190 (1987; Zbl 0612.15010)], the author presents a simple proof of this
Singh Aujla, Jaspal
openaire   +2 more sources

Operator iteration on the Young inequality [PDF]

Journal of Inequalities and Applications, 2016
In this paper, we employ iteration on operator version of the famous Young inequality and obtain more arithmetic-geometric mean inequalities and the reverse versions for positive operators.
Xianhe Zhao, Le Li, Hongliang Zuo
doaj   +2 more sources

Strong Converse Inequality for a Spherical Operator [PDF]

Journal of Inequalities and Applications, 2011
In the paper titled as "Jackson-type inequality on the sphere" (2004), Ditzian introduced a spherical nonconvolution operator , which played an important role in the proof of the well-known Jackson inequality for spherical harmonics.
Lin Shaobo, Cao Feilong
doaj   +3 more sources

Approximation of an Additive ϱ1,ϱ2-Random Operator Inequality

Journal of Function Spaces, 2020
We solve the additive ϱ1,ϱ2-random operator inequality ξtTω,u+v−Tω,u−Tω,v≥κMξtϱ1Tω,u+v+Tω,u−v−2Tω,u,ξtϱ22Tω,u+v/2−Tω,u−Tω,v, in which ϱ1,ϱ2∈ℂ are fixed and max2ϱ1 ...
Sun Young Jang, Reza Saadati
doaj   +2 more sources

An Operator Extension of Čebyšev Inequality [PDF]

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, Omidvar Mohsen Erfanian, Dragomir Silvestru Sever   +2 more
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Operator Arithmetic-Harmonic Mean Inequality on Krein Spaces

Journal of Mathematical Extension, 2014
We prove an operator arithmetic-harmonic mean type inequality in Krein space setting, by using some block matrix techniques of indefinite type. We also give an example which shows that the operator arithmetic-geometric-harmonic mean inequality for two
M. Dehghani, S. M. S. Modarres Mosadegh
doaj   +1 more source

Hölder’s inequality for shifted quantum integral operator

Examples and Counterexamples
We show by two counterexamples that Hölder’s inequality for shifted quantum integral operator does not hold in general and we prove the case in which it is valid.
Andrea Aglić Aljinović, Lana Horvat Dmitrović, Ana Žgaljić Keko   +2 more
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A variational inequality for the derivative of the scalar play operator [PDF]

, 2021
We show that the directional derivative of the scalar play operator is the unique solution of a certain variational inequality. Due to the nature of the discontinuities involved, the variational inequality has an integral form based on the Kurzweil ...
Brokate, Martin, Krejčí, Pavel
core   +1 more source

Landau’s inequality for the difference operator [PDF]

Proceedings of the American Mathematical Society, 1988
The best constants for Landau’s inequality with the classical p p -norms are known explicitly only when
Kwong, Man Kam, Zettl, A.
openaire   +2 more sources