# Improved estimates for the triangle inequality

Journal of Inequalities and Applications, Jan 2017

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. MSC: 46B99, 26D15, 46C50, 46C05.

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Nicuşor Minculete, Radu Păltănea. Improved estimates for the triangle inequality, Journal of Inequalities and Applications, 2017, 17, DOI: 10.1186/s13660-016-1281-z