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Refinements of generalized triangle inequalities |
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| Authors: | Chih-Yung Hsu Han-Jin Wong |
| Institution: | a Department of Mathematics, National Central University, Chung-Li, Taoyuan 320, Taiwan b Graduate School of Engineering, Lunghwa University of Science and Technology, Gueishan, Taoyuan 333, Taiwan |
| 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. |
| Keywords: | Triangle inequality Sharp triangle inequality Reverse triangle inequality Triangle inequality of the second kind Strictly convex Banach space |
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