F. Dadipour

most citedCharacterization of a generalized triangle inequality in normed spaces

3 citations · 3 across the 3 of their papers we have counts for

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math.FA2011★ 3 cited

Characterization of a generalized triangle inequality in normed spaces

F. Dadipour, M. S. Moslehian, J. M. Rassias +1

For a normed linear space $(X, ∣ \cdot ∣)$ and $p > 0$ we characterize all $n$ -tuples $(μ_{1}, ..., μ_{n}) \in R^{n}$ for which the generalized triangle inequality of the second type $…

math.FA2011

Characterization of equality in a generalized Dunkl--Williams inequality

Mohammad Sal Moslehian, Farzad Dadipour

We establish a generalization of the Dunkl--Williams inequality and its inverse in the framework of Hilbert $C^{*}$ -modules and characterize the equality case. As applications, we ge…

math.FA2010

A characterization of inner product spaces related to the p-angular distance

F. Dadipour, M. S. Moslehian

In this paper we present a new characterization of inner product spaces related to the p-angular distance. We also generalize some results due to Dunkl, Williams, Kirk, Smiley and…