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An Equivalent Form of the Fundamental Triangle Inequality and its Applications
Fundamental triangle inequality Equivalent form Garfunkel-Bankoff inequality Leuenberger's inequality
2010/1/22
An equivalent form of the fundamental triangle inequality is given. The result is then used to obtain an improvement of the Leuenberger's inequality and a new proof of the Garfunkel-Bankoff inequality...
In this paper, we show the triangle inequality and its reverse inequality in quasi-Banach spaces.