Aequationes mathematicae, ISSN 1420-8903, 2017, Volume 92, Issue 1, pp. 25 - 37

In this paper we use basic properties of strongly convex functions to obtain new inequalities including Jensen type and Jensen...

Secondary 46L05 | Strongly convex functions | Jensen’s inequality | Primary 47A63 | Analysis | Operator inequality | Mathematics | 26B25 | Combinatorics | MATHEMATICS | MATHEMATICS, APPLIED | Jensen's inequality | YOUNG | BOUNDS | KANTOROVICH CONSTANT | Mathematics - Functional Analysis

Secondary 46L05 | Strongly convex functions | Jensen’s inequality | Primary 47A63 | Analysis | Operator inequality | Mathematics | 26B25 | Combinatorics | MATHEMATICS | MATHEMATICS, APPLIED | Jensen's inequality | YOUNG | BOUNDS | KANTOROVICH CONSTANT | Mathematics - Functional Analysis

Journal Article

Linear & multilinear algebra, ISSN 1563-5139, 2018, Volume 67, Issue 5, pp. 1031 - 1036

... that the second inequality in the above can be squared.

Operator inequality | Primary: 47A63 | log-convex functions | Kantorovich inequality | positive linear maps | Secondary: 46L05 | MATHEMATICS | Scalars | Mathematics - Functional Analysis

Operator inequality | Primary: 47A63 | log-convex functions | Kantorovich inequality | positive linear maps | Secondary: 46L05 | MATHEMATICS | Scalars | Mathematics - Functional Analysis

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2017, Volume 2017, Issue 1, pp. 1 - 16

The purpose of this paper is to give a survey of the progress, advantages and limitations of various operator inequalities involving improved...

Kantorovich constant | operator inequality | Mathematics | 15A15 | 47A30 | 15A42 | Analysis | Young’s inequality | Mathematics, general | progress | Applications of Mathematics | 15A60 | Kittaneh-Manasrah inequality | MATHEMATICS | MATHEMATICS, APPLIED | MATRICES | Young's inequality | Scalars | Operators | Promotion | Inequalities | Research

Kantorovich constant | operator inequality | Mathematics | 15A15 | 47A30 | 15A42 | Analysis | Young’s inequality | Mathematics, general | progress | Applications of Mathematics | 15A60 | Kittaneh-Manasrah inequality | MATHEMATICS | MATHEMATICS, APPLIED | MATRICES | Young's inequality | Scalars | Operators | Promotion | Inequalities | Research

Journal Article

Linear & multilinear algebra, ISSN 1563-5139, 2018, Volume 67, Issue 11, pp. 2253 - 2281

We present several Ando-Hiai type inequalities for n-variable operator means for positive invertible operators...

Ando-Hiai inequality | generalized Kantorovich constant | Karcher mean | power mean | geometric mean | Operator mean | Ando–Hiai inequality | MATRIX POWER | MATHEMATICS | Inequalities

Ando-Hiai inequality | generalized Kantorovich constant | Karcher mean | power mean | geometric mean | Operator mean | Ando–Hiai inequality | MATRIX POWER | MATHEMATICS | Inequalities

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2016, Volume 2016, Issue 1, pp. 1 - 8

In this paper, we employ iteration on operator version of the famous Young inequality and obtain more arithmetic-geometric mean inequalities and the reverse versions for positive operators...

Kantorovich constant | Analysis | Young inequality | arithmetic-geometric means | Mathematics, general | Mathematics | Applications of Mathematics | operator iteration | 47A30 | 47A63 | MATHEMATICS | MATHEMATICS, APPLIED | HILBERT-SPACE | Concretes | Operators | Inequalities

Kantorovich constant | Analysis | Young inequality | arithmetic-geometric means | Mathematics, general | Mathematics | Applications of Mathematics | operator iteration | 47A30 | 47A63 | MATHEMATICS | MATHEMATICS, APPLIED | HILBERT-SPACE | Concretes | Operators | Inequalities

Journal Article

Mathematica Slovaca, ISSN 1337-2211, 2019, Volume 69, Issue 4, pp. 919 - 930

We obtain a refined Young type inequality in this paper. The conclusion is presented as follows: Let
,
∈
(𝓗...

Secondary 46B20 | Kantorovich constant | positive linear map | Primary 47A63 | Young inequality | arithmetic-geometric means | REVERSE YOUNG | MATHEMATICS | OPERATOR INEQUALITIES | Arrays | Inequality

Secondary 46B20 | Kantorovich constant | positive linear map | Primary 47A63 | Young inequality | arithmetic-geometric means | REVERSE YOUNG | MATHEMATICS | OPERATOR INEQUALITIES | Arrays | Inequality

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 2020, Volume 268, Issue 7, pp. 3705 - 3724

.... We prove new isoperimetric-type functional inequalities, allowing us to control the relative entropies by their productions, which yields the exponential decay...

Functional inequalities | Entropy | Fitness-driven dispersal | Optimal transport | Exponential decay | Reaction-diffusion | MODEL | SPACE | MATHEMATICS | NONLINEAR DRIFT-DIFFUSION | HELLINGER-KANTOROVICH DISTANCE | IDEAL-FREE DISTRIBUTION | COMPETITION | CONVERGENCE

Functional inequalities | Entropy | Fitness-driven dispersal | Optimal transport | Exponential decay | Reaction-diffusion | MODEL | SPACE | MATHEMATICS | NONLINEAR DRIFT-DIFFUSION | HELLINGER-KANTOROVICH DISTANCE | IDEAL-FREE DISTRIBUTION | COMPETITION | CONVERGENCE

Journal Article

Mathematica Slovaca, ISSN 0139-9918, 08/2018, Volume 68, Issue 4, pp. 803 - 810

The main objective of the present paper, is to obtain some new versions of Young-type inequalities with respect to two weighted arithmetic and geometric means...

Kantorovich constant | Secondary 47A64 | Primary 47A63 | Young inequality | 47B65 | Heinz mean | weighted arithmetic and geometric mean | strictly positive operator | MATHEMATICS | MATRICES | Arrays | Inequalities

Kantorovich constant | Secondary 47A64 | Primary 47A63 | Young inequality | 47B65 | Heinz mean | weighted arithmetic and geometric mean | strictly positive operator | MATHEMATICS | MATRICES | Arrays | Inequalities

Journal Article

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, ISSN 1578-7303, 10/2018, Volume 112, Issue 4, pp. 1349 - 1365

...RACSAM (2018) 112:1349–1365
https://doi.org/10.1007/s13398-017-0430-7
ORIGINAL PAPER
Multiplicative inequalities for weighted geometric mean
in Hermitian...

26D10 | Theoretical, Mathematical and Computational Physics | Mathematics | Weighted geometric mean | 47A63 | 47A30 | Young’s inequality | Operator modulus | Mathematics, general | Hermitian unital Banach $$$$ ∗ -algebra | Applications of Mathematics | Arithmetic mean-geometric mean inequality | 15A60 | 26D15 | Hermitian unital Banach ∗ -algebra | MATHEMATICS | YOUNG | Hermitian unital Banach -algebra | Young's inequality | KANTOROVICH CONSTANT

26D10 | Theoretical, Mathematical and Computational Physics | Mathematics | Weighted geometric mean | 47A63 | 47A30 | Young’s inequality | Operator modulus | Mathematics, general | Hermitian unital Banach $$$$ ∗ -algebra | Applications of Mathematics | Arithmetic mean-geometric mean inequality | 15A60 | 26D15 | Hermitian unital Banach ∗ -algebra | MATHEMATICS | YOUNG | Hermitian unital Banach -algebra | Young's inequality | KANTOROVICH CONSTANT

Journal Article

Filomat, ISSN 0354-5180, 2017, Volume 31, Issue 20, pp. 6473 - 6481

...) preserves the order in some matrix inequalities. We prove that if A = (A(1),... , A(k)) and B = (B-1,... , B-k) are k-tuples of positive matrices with 0...

matrix power mean | MATHEMATICS | MATHEMATICS, APPLIED | multilinear mapping | Kantorovich inequality

matrix power mean | MATHEMATICS | MATHEMATICS, APPLIED | multilinear mapping | Kantorovich inequality

Journal Article

Analysis and Geometry in Metric Spaces, ISSN 2299-3274, 07/2015, Volume 3, Issue 1, pp. 157 - 166

In a recent work, E. Cinti and F. Otto established some new interpolation inequalities in the study
of pattern formation, bounding the Lr(μ...

Harnack inequality | Secondary | 46E35 | 58J60 | Primary: 35K08 | 60J60 | Interpolation inequality | 53C21 | 35B65 | Sobolev norm | Kantorovich distance | heat flow | Heat flow

Harnack inequality | Secondary | 46E35 | 58J60 | Primary: 35K08 | 60J60 | Interpolation inequality | 53C21 | 35B65 | Sobolev norm | Kantorovich distance | heat flow | Heat flow

Journal Article

Journal of functional analysis, ISSN 0022-1236, 2018, Volume 275, Issue 7, pp. 1650 - 1673

...–Kantorovich metric we prove the equivalence between the gradient and functional type Łojasiewicz inequalities...

Monge–Kantorovich distance | Functional inequalities | Gradient flows | Optimal transport | Łojasiewicz inequality | MATHEMATICS | Lojasiewicz inequality | EVOLUTION-EQUATIONS | Monge-Kantorovich distance | OPTIMAL TRANSPORTATION | ENTROPY DISSIPATION | GRANULAR MEDIA | GEOMETRY

Monge–Kantorovich distance | Functional inequalities | Gradient flows | Optimal transport | Łojasiewicz inequality | MATHEMATICS | Lojasiewicz inequality | EVOLUTION-EQUATIONS | Monge-Kantorovich distance | OPTIMAL TRANSPORTATION | ENTROPY DISSIPATION | GRANULAR MEDIA | GEOMETRY

Journal Article

Mathematical inequalities & applications, ISSN 1331-4343, 04/2017, Volume 20, Issue 2, pp. 389 - 403

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...

Jensen's inequality | Convex functions | Means inequalities | Wiener index | MATHEMATICS | REFINEMENTS | WIENER | YOUNG | convex functions | means inequalities | KANTOROVICH CONSTANT

Jensen's inequality | Convex functions | Means inequalities | Wiener index | MATHEMATICS | REFINEMENTS | WIENER | YOUNG | convex functions | means inequalities | KANTOROVICH CONSTANT

Journal Article

Journal of Mathematical Inequalities, ISSN 1846-579X, 2016, Volume 10, Issue 2, pp. 559 - 570

In this article, we study the further refinements and reverses of the Young and Heinz inequalities with the Kantorovich constant...

Heinz mean | Kantorovich constant | Operator inequalities | Young inequality | MATHEMATICS | MATHEMATICS, APPLIED | operator inequalities | REVERSE INEQUALITIES | HILBERT-SPACE

Heinz mean | Kantorovich constant | Operator inequalities | Young inequality | MATHEMATICS | MATHEMATICS, APPLIED | operator inequalities | REVERSE INEQUALITIES | HILBERT-SPACE

Journal Article

Journal of Mathematical Inequalities, ISSN 1846-579X, 2014, Volume 8, Issue 1, pp. 153 - 158

In the present article, some Kantorovich type and Wielandt type matrix inequalities and their equivalent forms are discussed respectively, and the equivalence of these Kantorovich type inequalities...

Kantorovich inequality | Wielandt inequality | Cauchy-Schwarz inequality | Singular value decomposition | MATHEMATICS | MATHEMATICS, APPLIED | singular value decomposition

Kantorovich inequality | Wielandt inequality | Cauchy-Schwarz inequality | Singular value decomposition | MATHEMATICS | MATHEMATICS, APPLIED | singular value decomposition

Journal Article

16.
Full Text
Reverses of Young Type Inequalities for Matrices Using the Classical Kantorovich Constant

Results in Mathematics, ISSN 1422-6383, 3/2019, Volume 74, Issue 1, pp. 1 - 10

In this article, we give some reverses of Young type inequalities which were established by Burqan and Khandaqji (J Math Inequal 9:113–120, 2015...

reverse Young type inequality | Hilbert–Schmidt norm | 15A45 | Mathematics, general | matrix inequalities | Mathematics | classical Kantorovich constant | 15A60 | 47A30 | MATHEMATICS | MATHEMATICS, APPLIED | Hilbert-Schmidt norm | HEINZ INEQUALITIES

reverse Young type inequality | Hilbert–Schmidt norm | 15A45 | Mathematics, general | matrix inequalities | Mathematics | classical Kantorovich constant | 15A60 | 47A30 | MATHEMATICS | MATHEMATICS, APPLIED | Hilbert-Schmidt norm | HEINZ INEQUALITIES

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 06/2018, Volume 370, Issue 6, pp. 4401 - 4432

We prove that the distribution density of any non-constant polynomial f(\xi _1,\xi _2,\ldots ) of degree d in independent standard Gaussian random variables...

Distribution of a polynomial | Kantorovich norm | Total variation norm | Hardy-Landau-Littlewood inequality | Nikolskii-Besov class | MATHEMATICS | NORM | CONVERGENCE | total variation norm

Distribution of a polynomial | Kantorovich norm | Total variation norm | Hardy-Landau-Littlewood inequality | Nikolskii-Besov class | MATHEMATICS | NORM | CONVERGENCE | total variation norm

Journal Article

Mathematica Slovaca, ISSN 0139-9918, 02/2015, Volume 65, Issue 1, pp. 179 - 190

We study the operator Q-class functions, present some Hermite- Hadamard inequalities for operator Q-class functions and give some Kantorovich and Jensen type...

convex function | Kantorovich inequality | positive linear map | Jensen operator inequality | operator Q-class function | SPACE | MATHEMATICS | Inequalities (Mathematics) | Functions | Functional equations | Analysis

convex function | Kantorovich inequality | positive linear map | Jensen operator inequality | operator Q-class function | SPACE | MATHEMATICS | Inequalities (Mathematics) | Functions | Functional equations | Analysis

Journal Article

Linear algebra and its applications, ISSN 0024-3795, 2008, Volume 429, Issue 7, pp. 1546 - 1554

In this paper, we present a complement of a generalized Ando–Hiai inequality due to Fujii and Kamei [M. Fujii, E. Kamei, Ando...

Generalized Kantorovich constant | Operator inequality | Araki–Cordes inequality | Ando–Hiai inequality | Positive operator | Operator mean | Ando-Hiai inequality | Araki-Cordes inequality | MATHEMATICS | Araki-Cordes | inequality | MATHEMATICS, APPLIED | generalized kantorovich constant | operator inequality | positive operator | operator mean | Equality

Generalized Kantorovich constant | Operator inequality | Araki–Cordes inequality | Ando–Hiai inequality | Positive operator | Operator mean | Ando-Hiai inequality | Araki-Cordes inequality | MATHEMATICS | Araki-Cordes | inequality | MATHEMATICS, APPLIED | generalized kantorovich constant | operator inequality | positive operator | operator mean | Equality

Journal Article

Turkish journal of mathematics, ISSN 1300-0098, 2019, Volume 43, Issue 1, pp. 523 - 532

We prove analogs of certain operator inequalities, including Holder-McCarthy inequality, Kantorovich inequality, and Heinz-Kato inequality, for positive operators on the Hilbert space in terms...

MATHEMATICS | Reproducing kernel Hilbert space | Holder-McCarthy-type inequality | REPRODUCING KERNELS | Berezin symbol | Berezin number | Kantorovich-type inequality | Heinz-Kato inequality | positive operator | BEREZIN SYMBOLS

MATHEMATICS | Reproducing kernel Hilbert space | Holder-McCarthy-type inequality | REPRODUCING KERNELS | Berezin symbol | Berezin number | Kantorovich-type inequality | Heinz-Kato inequality | positive operator | BEREZIN SYMBOLS

Journal Article

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