Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

Search within journal

Volumes and issues

INCREASING POSITIVELY HOMOGENEOUS FUNCTIONS DEFINED ON $\mathbb R^n$

J. E. MARTINEZ-LEGAZ, A. M. RUBINOV

pp. 313-331

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 $\mathbb R^n$.