Results 1 to 10 of about 4,859 (157)
New progress on the operator inequalities involving improved Young’s and its reverse inequalities relating to the Kantorovich constant [PDF]
Journal of Inequalities and Applications, 2017 The purpose of this paper is to give a survey of the progress, advantages and limitations of various operator inequalities involving improved Young’s and its reverse inequalities related to the Kittaneh-Manasrah inequality.
Jie Zhang, Junliang Wu
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New Refinement of the Operator Kantorovich Inequality [PDF]
Mathematics, 2019 We focus on the improvement of operator Kantorovich type inequalities. Among the consequences, we improve the main result of the paper [H.R. Moradi, I.H. Gümüş, Z.
Hamid Reza Moradi +2 more
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Operator inequalities associated with Hölder–McCarthy and Kantorovich inequalities
Journal of Inequalities and Applications, 1998 We discuss operator inequalities associated with Hölder–McCarthy and Kantorovich inequalities. We give a complementary inequality of Hölder–McCarthy one as an extension of [2] and also we give an application to the order preserving
Furuta Takayuki
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Kantorovich type reverse inequalities for operator norm [PDF]
Mathematical Inequalities & Applications, 2005 The authors extend a theorem of Bourin, contained in the electronically available monograph [\textit{J.--C. Bourin}, ``Compressions, Dilations and Matrix Inequalities'' (RGMIA Monographs, Victoria University) (2004; http://rgmia.vu.edu.au/monographs/matrix.html)]) to the framework of operators on a Hilbert space by applying the Mond--Pečarić method for
Jun Ichi Fujii +2 more
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Operator versions of the Kantorovich inequality [PDF]
Proceedings of the American Mathematical Society, 1996 The Operator Kantorovich Inequality \[ ( R 2 − r 2 ) u ∗ ( a ∗ a ) u ≤ R 2 ( u ∗
P. G. Spain
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Kantorovich type operator inequalities for Furuta inequality [PDF]
Operators and Matrices, 2007 In this paper, we shall present Kantorovich type operator inequalities for Furuta inequality related to the usual order and the chaotic one in terms of a generalized Kantorovich constant, a generalized condition number and the Specht ratio, in which we use variants of the grand Furuta inequality. Mathematics subject classification (2000): 47A63.
Yuki Seo
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A New Kantorovich-Type Rational Operator and Inequalities for Its Approximation [PDF]
Mathematics, 2022 We introduce a new Kantorovich-type rational operator. We investigate inequalities estimating its rates of convergence in view of the modulus of continuity and the Lipschitz-type functions. Moreover, we present graphical comparisons exemplifying concretely its better approximation for a certain function. The results of the paper are crucial by means of
Esma Yıldız Özkan
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Generalization of the Kantorovich type operator inequalities via Grand Furuta inequality [PDF]
Mathematical Inequalities & Applications, 2006 In this note we show the characterization of the $\delta$-order by means of a generalized Kantorovich constant via Grand Furuta inequality, which is an extension result of that from M.Fujii, E.Kamei, Y.Seo, {; ; \it Kantorovich type operator inequalities via grand Furuta inequality}; ; , Sci.\ Math., {; ; \bf 3}; ; (2000), 263--272.
Jadranka Mić ć Hot, Josip Pečarić
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A glimpse at the operator Kantorovich inequality [PDF]
Linear and Multilinear Algebra, 2018 to appear in Linear Multilinear ...
Hamid Reza Moradi +2 more
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Improved Young and Heinz operator inequalities with Kantorovich constant
Ukrainian Mathematical Journal, 2021 UDC 517.9 We present numerous refinements of the Young inequality by the Kantorovich constant. We use these improved inequalities to establish corresponding operator inequalities on a Hilbert space and some new inequalities involving the Hilbert – Schmidt norm of matrices.
A. Beiranvand, A. G. Ghazanfari
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