Acta Mathematica Vietnamica
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INCREASING POSITIVELY HOMOGENEOUS FUNCTIONS DEFINED ON $\mathbb R^n$
J. E. MARTINEZ-LEGAZ, A. M. RUBINOV
Abstract
The theory of IPH (increasing positively homogeneous of degree one) functions defined on the cone $\mathbb R^n_+$ of all vectors with nonnegative coordinates is well developed. In this paper we present a suitable extension of this theory for IPH functions defined on the entire space $\mathbb R^n$.