Results 21 to 30 of about 769 (85)
Trace inequalities of Shisha-Mond type for operators in Hilbert spaces
Concrete Operators, 2017 Some trace inequalities of Shisha-Mond type for operators in Hilbert spaces are provided. Applications in connection to Grüss inequality and for convex functions of selfadjoint operators are also given.
Dragomir Sever Silvestru
doaj +1 more source
Structure of the antieigenvectors of a strictly accretive operator
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 4, Page 761-766, 1998., 1997 A necessary and sufficient condition that a vector f is an antieigenvector of a strictly accretive operator A is obtained. The structure of antieigenvectors of selfadjoint and certain class of normal operators is also found in terms of eigenvectors. The Kantorovich inequality for selfadjoint operators and the Davis′s inequality for normal operators are
K. C. Das, M. Das Gupta, K. Paul
wiley +1 more source
, 2017 In this article we present refinements of Jensen’s inequality and its reversal for convex functions, by adding as many refining terms as we wish. Then as a standard application, we present several refinements and reverses of well known mean inequalities.
Mohammad Sababheh
semanticscholar +1 more source
Operator inequalities via geometric convexity
Mathematical Inequalities & Applications, 2019 The main goal of this paper is to present new generalizations of some known inequalities for the numerical radius and unitarily invariant norms of Hilbert space operators.
M. Sababheh, H. Moradi, S. Furuichi
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Hardy-Hilbert's inequality and power inequalities for Berezin numbers of operators
, 2016 We give operator analogues of some classical inequalities, including Hardy and HardyHilbert type inequalities for numbers. We apply these operator forms of such inequalities for proving some power inequalities for the so-called Berezin number of self ...
M. Garayev, M. Gürdal, Arzu Okudan
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Some new operator inequalities
, 2020 In this article, we present some new inequalities for positive linear mappings that can be viewed as super multiplicative inequalities. As applications, we deduce some numerical radius inequalities.
M. Sababheh +2 more
semanticscholar +1 more source
Extending a result of Haynsworth
Journal of Mathematical Inequalities, 2020 Haynsworth [4] refined a determinant inequality for two positive definite matrices. We extend Haynsworth’s result to more than two positive definite matrices and obtain some inequalities for sum of positive definite matrices.
Qian Li, Qingwen Wang, S. Dong
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Hermite-Hadamard type inequalities for operator (p,h)-convex functions
Journal of Mathematical Inequalities, 2020 Motivated by the recent work on convex functions and operator convex functions, we investigate the Hermite-Hadamard inequalities for operator (p,h) -convex functions. We also present the estimates of both sides of the Hermite-Hadamard type inequality for
Zhi ei Hao, L. B. Li
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Trace inequalities for positive operators via recent refinements and reverses of Young’s inequality
Special Matrices, 2018 In this paper we obtain some trace inequalities for positive operators via recent refinements and reverses of Young’s inequality due to Kittaneh-Manasrah, Liao-Wu-Zhao, Zuo-Shi-Fujii, Tominaga and Furuichi.
Dragomir S. S.
doaj +1 more source
The Riemannian mean and matrix inequalities related to the Ando-Hiai inequality and chaotic order
, 2012 The Riemannian mean on the convex cone of positive definite matrices is a kind of geometric mean of n -matrices which is an extension of the geometric mean of two-matrices.
T. Yamazaki
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