关于凸函数的一个分离定理

IF 0.4 Q4 MATHEMATICS

Annales Mathematicae Silesianae Pub Date : 2020-07-01 DOI:10.2478/amsil-2020-0013

A. Olbryś

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引用次数: 1

摘要

摘要本文建立了两个函数可以被delta凸函数分离的充要条件。这种分离将被理解为相对于洛伦兹锥产生的偏序的分离。文中还给出了delta凸性稳定性问题的一个应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On a Separation Theorem for Delta-Convex Functions

Abstract In the present paper we establish necessary and sufficient conditions under which two functions can be separated by a delta-convex function. This separation will be understood as a separation with respect to the partial order generated by the Lorentz cone. An application to a stability problem for delta-convexity is also given.

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来源期刊

Annales Mathematicae Silesianae Mathematics-Mathematics (all)

CiteScore

0.60

自引率

25.00%

发文量

审稿时长

27 weeks