Improved estimates for the triangle inequality
Nicuşor Minculete, Radu Păltănea
Abstract
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Nicuşor Minculete, Radu Păltănea
Abstract
Open-access reader
We obtain refined estimates of the triangle inequality in a normed space using integrals and the Tapia semi-product. The particular case of an inner product space is discussed in more detail.
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We obtain refined estimates of the triangle inequality in a normed space using integrals and the Tapia semi-product. The particular case of an inner product space is discussed in more detail.
Key concepts: Mathematics, Triangle inequality, Inner product space, Product (mathematics), Inequality, Space (punctuation), Minkowski inequality, Ky Fan inequality