Programming Problems with Convex Fractional Functions

1 April 1968

journal article
Published by Institute for Operations Research and the Management Sciences (INFORMS) in Operations Research

Vol. 16 (2) , 383-391
https://doi.org/10.1287/opre.16.2.383

Abstract

The main result proved in this paper is that the ratio of the square of a nonnegative convex function to a strictly positive concave function is convex over a convex domain. Some particular cases of this result and a few applications to mathematical programming are also considered.

Keywords

MATHEMATICAL
NONNEGATIVE
CONCAVE
STRICTLY
CONVEX FRACTIONAL
FRACTIONAL FUNCTIONS
MAIN RESULT PROVED

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