Results 41 to 50 of about 251 (77)
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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Refinements of Hermite-Hadamard type inequalities for operator convex functions
, 2013 The purpose of this paper is to present some new versions of Hermite-Hadamard type inequalities for operator convex functions. We give refinements of Hermite-Hadamard type inequalities for convex functions of self-adjoint operators in a Hilbert space ...
Vildan Bacak, Ramazan Türkmen
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OPERATOR VERSIONS OF SHANNON TYPE INEQUALITY
, 2016 In this paper, we present some refinements and precise estimations of parametric ex- tensions of Shannon inequality and its reverse one given by Furuta in Hilbert space operators.
I. Nikoufar
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Power vector inequalities for operator pairs in Hilbert spaces and their applications
Open MathematicsThis study explores the power vector inequalities for a pair of operators (B,C)\left(B,C) in a Hilbert space. By utilizing a Mitrinović-Pečarić-Fink-type inequality for inner products and norms, we derive various power vector inequalities.
Altwaijry Najla +2 more
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Norm inequalities of Čebyšev type for power series in Banach algebras
Journal of Inequalities and Applications, 2014 Let f(λ)=∑n=0∞αnλn be a function defined by power series with complex coefficients and convergent on the open disk D(0,R)⊂C, R>0 and x,y∈B, a Banach algebra, with xy=yx.
S. Dragomir +3 more
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Some inequalities involving positive linear maps under certain conditions
Operators and Matrices, 2019 We demonstrate that several well-known classical inequalities also hold for some positive linear maps on matrix algebra. It is shown that for such maps the Jensen inequality hold for all ordinary convex functions. Mathematics subject classification (2010)
R. Kumar, Rajesh Sharma, I. Spitkovsky
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More refinements of the operator reverse AM-GM inequality for positive linear maps
Journal of Mathematical Inequalities, 2019 This paper aims to present some operator inequalities for positive linear maps. These inequalities are refinements of the results presented by Xue in [J. Inequal. Appl. 2017:283, 2017]. Mathematics subject classification (2010): 47A30, 47A63.
Ilyas Ali, A. Shakoor, A. Rehman
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Further improved Young inequalities for operators and matrices
, 2017 In this paper, we show some improvement of Young inequalities for operators and matrix versions for the Hilbert-Schmidt norm. On the basis of an operator equality, we prove intrinsic conclusion by means of a different method with others’ researches ...
Xia Zhao, Le Li, Hong-liang Zuo
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Mathematical Inequalities & Applications, 2019 For positive real numbers a and b , the weighted power mean Pt,q(a,b) and the weighted Heron mean Kt,q(a,b) are defined as follows: For t ∈ [0,1] and q ∈ R , Pt,q(a,b) = {(1− t)aq + tbq} q and Kt,q(a,b) = (1− q)a1−tbt + q{(1− t)a+ tb} .
Masatoshi Ito
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Additive refinements and reverses of Young's operator inequality with applications
Journal of Mathematical Inequalities, 2019 In this paper we obtain some new additive refinements and reverses of Young’s operator inequality. Applications related to the Hölder-McCarthy inequality for positive operators and for trace class operators on Hilbert spaces are given as well ...
S. Dragomir
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