On maximal inequalities via comparison principle

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Date

2015

Journal Title

Journal ISSN

Volume Title

Publisher

SpringerOpen

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.

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Keywords

Brownian motion, Nonlinear equations, Mathematics, Applied Mathematics

Citation

Makasu, C. (2015). On maximal inequalities via comparison principle. Journal of Inequalities and Applications, 348. 10.1186/s13660-015-0873-3