2017•Journal of Inequalities and ApplicationsOpen access

Improved estimates for the triangle inequality

Nicuşor Minculete, Radu Păltănea

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Abstract

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.

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Available abstract

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

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