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- W2787019916 abstract "In this paper, we introduce the different ways of proving the triangle inequality ku − vk ≤ kuk + kvk, in the Hilbert space. Thus, we prove this triangle inequality through the binomial inequality and also, prove it through the Euclidean norm. The first generalized procedure for proving the triangle inequality is feasible for any even positive integer n. The second alternative proof of the triangle inequality establishes the Euclidean norm of any two vectors in the Hilbert space." @default.
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- W2787019916 date "2018-02-14" @default.
- W2787019916 modified "2023-09-27" @default.
- W2787019916 title "The Proofs of Triangle Inequality Using Binomial Inequalities" @default.
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- W2787019916 doi "https://doi.org/10.29020/nybg.ejpam.v11i1.3165" @default.
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