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 versions of refinements and reverses of Young-type inequalities with the Kantorovich constant [PDF]
Special Matrices, 2023 Recently, some Young-type inequalities have been promoted. The purpose of this article is to give further refinements and reverses to them with Kantorovich constants.
Rashid Mohammad H. M., Bani-Ahmad Feras
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GENERALIZED KANTOROVICH CONSTANT, A NEW FORMULATION AND PROPERTIES
Проблемы анализа, 2020 A hyperbolic formulation has been established for the generalized Kantorovich constant. This formulation, besides some new inequalities for hyperbolic functions, allow us to obtain new properties of generalized Kantorovich constant, as well as to give ...
Fozi M. Dannan
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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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Extensions of inequalities involving Kantorovich constant [PDF]
Mathematical Inequalities & Applications, 2011 In this paper, two methods of extending inequalities involving Kantorovich constant are presented. An inequality of Micic et al. [Linear Algebra Appl., 318 (2000), 87–107] on positive linear maps and geometric mean of positive definite matrices is extended to arbitrary matrices having accretive transformation. A result of Dragomir [JIPAM 5 (3), Art.76,
Marek Niezgoda
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A Note on Improved Young Type Inequalities with Kantorovich Constant [PDF]
Journal of Mathematics and Statistics, 2016 In this article, we first present some improved Young type inequalities for scalars, then according to these inequalities we give the Hilbert-Schmidt norm and the trace norm versions.
Leila Nasiri, Mahmood Shakoori
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Refined Young inequality with Kantorovich constant [PDF]
Journal of Mathematical Inequalities, 2011 The Specht ratio S(h) is the optimal constant in the reverse of the arithmetic-geometric mean inequality, i.e., if 0 0, μ ∈ (0,1) ,w hereh = b and r = min{μ,1 − μ}. In this paper, we improve it by virtue of the Kantorovich constant, utilizing the refined scalar Young inequality we establish a weighted arithmetic-geometric-harmonic mean inequality for
Hongliang Zuo +2 more
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NEW VERSIONS OF REVERSE YOUNG AND HEINZ MEAN INEQUALITIES WITH THE KANTOROVICH CONSTANT [PDF]
Taiwanese Journal of Mathematics, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wenshi Liao, Junliang Wu, Jianguo Zhao
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Reverses and variations of Young's inequalities with Kantorovich constant [PDF]
Journal of Mathematical Inequalities, 2016 In this paper, we obtain some improved Young and Heinz inequalities and the reverse versions for scalars and matrices with Kantorovich constant, equipped with the Hilbert-Schmidt norm, and then we present the corresponding interpolations of recent ...
Haisong Cao, Junliang Wu
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Specht ratio S(1) can be expressed by Kantorovich constant K(p) : S(1)= exp[K'(1)] and its application [PDF]
Mathematical Inequalities & Applications, 2003 Let \(A\) be a strictly positive bounded linear operator on a Hilbert space satisfying \(MI\geq A\geq mI> 0\), where \(M> m> 0\). The author introduces a new relation between the Specht ratio \(S(1)\) and the Kantorovich constant \(K(p)\), where \(S(1)= {h^{1/(h-1)}\over e\log h^{1/(h-1)}}\) and \[ K(p)= {(p-1)^{p-1}\over p^p}\cdot {(h^p- 1)^p\over(h ...
Takayuki Furuta
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