Results 61 to 70 of about 1,171 (115)
An operator extension of the parallelogram law and related norm inequalities [PDF]
, 2010 We establish a general operator parallelogram law concerning a characterization of inner product spaces, get an operator extension of Bohr's inequality and present several norm inequalities.
Moslehian, Mohammad Sal
core
Reverses of operator Aczél inequality [PDF]
, 2017 In this paper we present some inequalities involving operator decreasing functions and operator means. These inequalities provide some reverses of operator Acz\'el inequality dealing with the weighted geometric mean.
arxiv +1 more source
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
semanticscholar +1 more source
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
semanticscholar +1 more source
On New Refinements and Reverses of Young's Operator Inequality [PDF]
arXiv, 2015 In this paper we obtain some new refinements and reverses of Young's operator inequality. Extensions for convex functions of operators are also provided.
arxiv
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
semanticscholar +1 more source
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
semanticscholar +1 more source
Operator monotonicity of some functions [PDF]
arXiv, 2014 We investigate the operator monotonicity of functions which was considered by V.E. Szabo.
arxiv
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
semanticscholar +1 more source
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
semanticscholar +1 more source