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arXiv · 1804.02907

On the spherical quasi-convexity of quadratic functions

O. P. Ferreira·S. Z. Németh·L. Xiao
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Abstract

In this paper the spherical quasi-convexity of quadratic functions on spherically convex sets is studied. Several conditions characterizing the spherical quasi-convexity of quadratic functions are presented. In particular, conditions implying spherical quasi-convexity of quadratic functions on the spherical positive orthant are given. Some examples are provided as an application of the obtained results.

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O. P. Ferreira, S. Z. Németh, L. Xiao. 2018-04-09. On the spherical quasi-convexity of quadratic functions. https://arxiv.org/abs/1804.02907

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