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math.MG2002
Inequalities of relative weighted metrics
Peter A. Hasto
In this paper we present inequalities between two generalizations of the hyperbolic metric and the j_G metric. We also prove inequalities between generalized versions of the j_G me…
math.MG2001
A New Weighted Metric: the Relative Metric II
Peter A. Hasto
In the first part of this investigation, [Ha], we generalized a weighted distance function of [Li] and found necessary and sufficient conditions for it being a metric. In this pape…
math.MG2001
A New Weighted Metric: the Relative Metric I
Peter A. Hasto
The M-relative distance, denoted by ρ_M is a generalization of the p-relative distance, which was introduced by Ren-Cang Li. We establish necessary and sufficient conditions under…