Name: On maximal inequalities via comparison principle
Creator: Makasu, Cloud
Keywords: Applied Mathematics, Discrete Mathematics and Combinatorics, Brownian motion, Nonlinear equations, 0101 mathematics, 16. Peace & justice, 01 natural sciences, Mathematics, Analysis

descriptionPublicationkeyboard_double_arrow_right Article 02 Nov 2015 English Publisher:Springer Science and Business Media LLCJournal:Journal of Inequalities and Applications, volume 2,015 (eissn: 1029-242X,

Authors: Makasu, Cloud;

doi: 10.1186/s13660-015-0873-3

handle: 10566/8396

On maximal inequalities via comparison principle

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Abstract

Under certain conditions, we prove a new class of one-sided, weighted, maximal inequalities for a standard Brownian motion. Our method of proof is mainly based on a comparison principle for solutions of a system of nonlinear first-order differential equations.

Related Organizations

Applied Mathematics (United States)
United States
Department of Mathematics
University of the Western Cape
South Africa

Keywords

Applied Mathematics, Discrete Mathematics and Combinatorics, Brownian motion, Nonlinear equations, Mathematics, Analysis

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