Journal of inequalities and applications, ISSN 1029-242X, 2019, Volume 2019, Issue 1, pp. 1 - 12

In this paper, we present some new reverse arithmetic-geometric mean inequalities for operators and matrices due to Lin (Stud. Math. 215:187-194, 2013...

MATHEMATICS | Arithmetic-geometric-harmonic mean | MATHEMATICS, APPLIED | Sector matrix | Positive linear maps | Inequality | Operators (mathematics) | Inequalities | Arithmetic–geometric–harmonic mean

MATHEMATICS | Arithmetic-geometric-harmonic mean | MATHEMATICS, APPLIED | Sector matrix | Positive linear maps | Inequality | Operators (mathematics) | Inequalities | Arithmetic–geometric–harmonic mean

Journal Article

CERAMICS-SILIKATY, ISSN 0862-5468, 2019, Volume 63, Issue 4, pp. 419 - 425

Generalized mean values of size distributions are defined via the general power mean, using Kronecker's delta to allow for the geometric mean...

DEFINITION | Mean size (superarithmetic, arithmetic, geometric, harmonic and subharmonic) | Herdan's theorem | PARTICLE DIAMETERS | Size distributions (number-, length-, surface-, volume-weighted) | PRODUCT | Moments | PROPER TYPE | SHAPE CHARACTERIZATION | MECHANICAL-PROPERTIES | MATERIALS SCIENCE, CERAMICS | Moment ratios | moments | mean size (superarithmetic, arithmetic, geometric, harmonic and subharmonic) | size distributions (number-, length-, surface-, volume-weighted) | moment ratios | herdan's theorem

DEFINITION | Mean size (superarithmetic, arithmetic, geometric, harmonic and subharmonic) | Herdan's theorem | PARTICLE DIAMETERS | Size distributions (number-, length-, surface-, volume-weighted) | PRODUCT | Moments | PROPER TYPE | SHAPE CHARACTERIZATION | MECHANICAL-PROPERTIES | MATERIALS SCIENCE, CERAMICS | Moment ratios | moments | mean size (superarithmetic, arithmetic, geometric, harmonic and subharmonic) | size distributions (number-, length-, surface-, volume-weighted) | moment ratios | herdan's theorem

Journal Article

Linear Algebra and Its Applications, ISSN 0024-3795, 10/2017, Volume 531, pp. 268 - 280

As extension of the Lie-Trotter product formula, we define the two-variable and multivariate Lie-Trotter means with several examples including the Sagae-Tanabe and Hansen inductive means...

Arithmetic-geometric-harmonic mean inequalities | Lie-Trotter formula | Inductive mean | Geometric mean | Spectral geometric mean | MATHEMATICS | MATHEMATICS, APPLIED

Arithmetic-geometric-harmonic mean inequalities | Lie-Trotter formula | Inductive mean | Geometric mean | Spectral geometric mean | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Journal of Inequalities in Pure and Applied Mathematics, 2009, Volume 10, Issue 4

Journal Article

International Journal of Pure and Applied Mathematics, ISSN 1311-8080, 2013, Volume 89, Issue 5, pp. 719 - 730

Journal Article

Journal of Mathematical Inequalities, ISSN 1846-579X, 2011, Volume 5, Issue 4, pp. 551 - 556

The Specht ratio S(h) is the optimal constant in the reverse of the arithmetic-geometric mean inequality, i.e., if 0 < m <= a, b <= M and h = M/m, then (1 - mu)a + mu b <= S(h)a(1-mu) b(mu...

Operator inequality | Specht ratio | Operator means | Kantorovich constant | Young inequality | Arithmetic-geometric-harmonic mean inequality | MATHEMATICS | MATHEMATICS, APPLIED | operator inequality | operator means | arithmetic-geometric-harmonic mean inequality

Operator inequality | Specht ratio | Operator means | Kantorovich constant | Young inequality | Arithmetic-geometric-harmonic mean inequality | MATHEMATICS | MATHEMATICS, APPLIED | operator inequality | operator means | arithmetic-geometric-harmonic mean inequality

Journal Article

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, ISSN 1578-7303, 06/2020, Volume 114, Issue 3

In this paper, one of our main targets is to present some improvements of Young-type inequalities due to Alzer et al. (Linear Multilinear Algebra...

Arithmetic-geometric-harmonic | MATHEMATICS | Kantorovich constant | Young-type inequalities | GEOMETRIC MEAN INEQUALITY | Operators (mathematics) | Norms | Scalars | Inequalities

Arithmetic-geometric-harmonic | MATHEMATICS | Kantorovich constant | Young-type inequalities | GEOMETRIC MEAN INEQUALITY | Operators (mathematics) | Norms | Scalars | Inequalities

Journal Article

Taiwanese journal of mathematics, ISSN 1027-5487, 12/2011, Volume 15, Issue 6, pp. 2721 - 2731

In this paper, we give the sufficient as well as necessary condition of the Schur-convexity and Schur-harmonic-convexity of the generalized Heronian means with two positive numbers...

Generalized heronian means | Arithmetic-geometric-harmonic means inequalities | Heronian means | Schur-convexity | Schur-geometric-convexity | Schurharmonic-convexity | MATHEMATICS | Schur-harmonic-convexity | Generalized Heronian means | VALUES

Generalized heronian means | Arithmetic-geometric-harmonic means inequalities | Heronian means | Schur-convexity | Schur-geometric-convexity | Schurharmonic-convexity | MATHEMATICS | Schur-harmonic-convexity | Generalized Heronian means | VALUES

Journal Article

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