On the Leibniz rule for random variables

Zoltán Léka

Type: Article

Publication Date: 2017-10-26

Citations: 0

DOI: https://doi.org/10.7153/mia-21-18

Abstract

We prove a Leibniz-type inequality for the spread of (real-valued) random variables in terms of their L p -norms.The result is motivated by the Kato-Ponce inequality and Rieffel's Leibniz property.

Locations

arXiv (Cornell University) - View - PDF
Mathematical Inequalities & Applications - View - PDF

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Works Cited by This (21)

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+	Dirichlet Forms and Analysis on Wiener Space	1991	Nicolas Bouleau Francis Hirsch
+	Nonnegative Matrices and Applications	1997	R.B. Bapat T. E. S. Raghavan
+	Standard deviation is a strongly Leibniz seminorm	2014	Marc A. Rieel
+	Leibniz seminorms for "Matrix algebras converge to the sphere"	2007	Marc A. Rieffel
+	On the Moreau--Yosida Regularization of the Vector $k$-Norm Related Functions	2014	Bin Wu Chao Ding Defeng Sun Kim-Chuan Toh
+	Lipschitz Algebras and Derivations of von Neumann Algebras	1996	Nik Weaver
+	Loewner matrices and operator convexity	2009	Rajendra Bhatia Takashi Sano
+	Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation	1991	Francis Michael Christ Michael I. Weinstein
+	Commutator estimates and the euler and navier‐stokes equations	1988	Tosio Kato Gustavo Ponce
+ PDF Chat	Robust linear optimization under general norms	2004	Dimitris Bertsimas Dessislava A. Pachamanova Melvyn Sim