Results 11 to 20 of about 7,613 (204)

Evolutionary Variational Inequalities on the Hellinger-Kantorovich and Spherical Hellinger-Kantorovich spaces [PDF]

, 2022
We study the minimizing movement scheme for families of geodesically semiconvex functionals defined on either the Hellinger--Kantorovich or the Spherical Hellinger--Kantorovich space. By exploiting some of the finer geometric properties of those spaces, we prove that the sequence of curves, which are produced by geodesically interpolating the points ...
Vaios Laschos, Alexander Mielke
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A Note on Kantorovich and Ando Inequalities [PDF]

Filomat, 2019
The main goal of this exposition is to present further analysis of the Kantorovich and Ando operator inequalities. In particular, a new proof of Ando?s inequality is given, a new non-trivial refinement of Kantorovich inequality is shown, and some equivalent forms of the Kantorovich inequality are presented with a Minkowski-type application.
Mohammad Sababheh, Hamid Reza Moradi, İbrahim Halil Gümüş, Shigeru Furuichi   +3 more
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On Improvements of Kantorovich Type Inequalities [PDF]

Mathematics, 2019
In the paper, we give some new improvements of the Kantorovich type inequalities by using Popoviciu’s, Hölder’s, Bellman’s and Minkowski’s inequalities. These results in special case yield Hao’s, reverse Cauchy’s and Minkowski’s inequalities.
Chang-Jian Zhao, Wing‐Sum Cheung
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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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Enhanced Young-type inequalities utilizing Kantorovich approach for semidefinite matrices [PDF]

Open Mathematics
This article introduces new Young-type inequalities, leveraging the Kantorovich constant, by refining the original inequality. In addition, we present a range of norm-based inequalities applicable to positive semidefinite matrices, such as the Hilbert ...
Bani-Ahmad Feras, Rashid Mohammad Hussein Mohammad   +1 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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Applications of the poincaré inequality to extended Kantorovich method [PDF]

Journal of Inequalities and Applications, 2006
The authors apply the Poincaré inequality to study the extended Kantorovich method used to construct a closed-form solution for two coupled partial differential equaions with mixed boundary conditions.
Der‐Chen Chang, Tristan Nguyen, Gang Wang, Norman M. Wereley   +3 more
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An extension of the Kantorovich inequality to Hilbert spaces

Elemente der Mathematik
By using the singular value decomposition, we present an extension of the famous Kantorovich inequality for a class of operators on Hilbert spaces, including the invertible ones. In particular, this extends the Kantorovich inequality for positive definite matrices due to Greub and Rheinboldt.
Saikat Roy, ‎Debmalya Sain
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Applications of the poincaré inequality to extended Kantorovich method

Journal of Inequalities and Applications, 2006
We apply the Poincaré inequality to study the extended Kantorovich method that was used to construct a closed-form solution for two coupled partial differential equations with mixed boundary conditions.
Nguyen Tristan, Wang Gang, Wereley Norman M, Chang Der-Chen   +3 more
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Improved Young and Heinz inequalities with the Kantorovich constant [PDF]

, 2015
In this article, we study the further refinements and reverses of the Young and Heinz inequalities with the Kantorovich constant. These modified inequalities are used to establish corresponding operator inequalities on Hilbert space and Hilbert-Schmidt ...
Wenshi Liao, Junliang Wu
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