Article ID Journal Published Year Pages File Type
4620989 Journal of Mathematical Analysis and Applications 2008 15 Pages PDF
Abstract

In this paper, we discuss refinements of the well-known triangle inequality and it is reverse inequality for strongly integrable functions with values in a Banach space X. We also discuss refinement of a generalized triangle inequality of the second kind for Lp functions. For both cases, the attainability of the equality is also investigated.

Related Topics
Physical Sciences and Engineering Mathematics Analysis