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On the Sharp Triangle Inequalities in Quasi-Banach Spaces

On the Sharp Triangle Inequalities in Quasi-Banach Spaces

The triangle inequality is one of the most important and fundamental inequalities in analysis.Many authors have been treating its generalizations and reverse inequalities.In this paper, we shall present the sharp triangle inequality and its reverse inequality for an arbitrary number of finitely many nonzero elements of a quasi-Banach space, which …