Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4620989 | Journal of Mathematical Analysis and Applications | 2008 | 15 Pages |
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.
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Physical Sciences and Engineering
Mathematics
Analysis