Wright凸函数分解定理的一个初等证明

IF 0.4 Q4 MATHEMATICS

Annales Mathematicae Silesianae Pub Date : 2019-12-31 DOI:10.2478/AMSIL-2020-0010

Z. Páles

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引用次数: 1

摘要

摘要本文的主要目的是给出C.T.Ng于1987年发现的Wright凸函数分解定理的一个完全初等的证明。在证明中，我们不使用超限工具，即Rodé定理的变体，或与具有连续差的函数相关的德布鲁因定理。

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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An Elementary Proof for the Decomposition Theorem of Wright Convex Functions

Abstract The main goal of this paper is to give a completely elementary proof for the decomposition theorem of Wright convex functions which was discovered by C. T. Ng in 1987. In the proof, we do not use transfinite tools, i.e., variants of Rodé’s theorem, or de Bruijn’s theorem related to functions with continuous differences.

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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