Reserval of the Lyapunov, Hölder, and Minkowski inequalities and other extensions of the Kantorovich inequality

DOI10.1016/0022-247X(64)90057-5zbMath0136.04201MaRDI QIDQ2521225

Albert W. Marshall, Ingram Olkin

Publication date: 1964

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

differentiation and integration, measure theory

Related Items (17)

Moment inequalities via optimal design theory ⋮ Some comments on six inequalities associated with the inefficiency of ordinary least squares with one regressor ⋮ Some further matrix extensions of the Cauchy-Schwarz and Kantorovich inequalities, with some statistical applications ⋮ Inequalities for moments and means ⋮ A matrix version of the ky fan generalization of the kantorovich inequality II ⋮ Inequalities in Statistics and Information Measures ⋮ Matrix versions of the Cauchy and Kantorovich inequalities ⋮ Über komplementäre Ungleichungen mit drei Mittelwerten. I ⋮ A maximization problem and its application to canonical correlation ⋮ Generalized means of eigenvalues ⋮ Komplementäre Ungleichungen bei vergleichbaren Mittelwerten ⋮ Some complements of Hölder's inequality ⋮ Generalized matrix versions of the Cauchy-Schwarz and Kantorovich inequalities ⋮ The world according to Rényi: Thermodynamics of multifractal systems ⋮ A converse to the Jensen inequality, its matrix extensions and inequalities for minors and eigenvalues ⋮ Differences of means ⋮ Inequalities involving powers of generalized inverses

Cites Work

• On the Kantorovich inequality
• Inclusion theorems for eigenvalues from probability inequalities
• Moment inequalities of Polya frequency functions
• Bounds on the Expectation of a Convex Function of a Multivariate Random Variable
• On a Generalization of an Inequality of L. V. Kantorovich
• Stronger forms of a class of inequalities of G. Pólya-G. Szegö, and L. V. Kantorovich
• Properties of Probability Distributions with Monotone Hazard Rate
• Bounds on ratios of means
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