关于凸函数的可分差Jensen不等式

IF 0.7 3区数学 Q2 MATHEMATICS

Aequationes Mathematicae Pub Date : 2024-10-22 DOI:10.1007/s00010-024-01127-4

G. Aras-Gazić, Julije Jakšetić, Rozarija Mikić, J. Pečarić

引用次数: 0

摘要

这项研究的动机是Zwick在可分差的凸性方面的工作，以及最近在这个主题上的一个结果，目的是扩展edmundson - la - ribaric不等式的使用。本文给出了关于3-凸函数的Wulbert结果及其在二元函数上的推广应用。

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 Jensen’s inequality involving divided differences of convex functions

This research is motivated by Zwick’s work on the convexity of divided differences and one more recent result on this topis with the aim of extending the use of the Edmundson-Lah-Ribaric inequality. Applications to Wulbert’s result for 3-convex functions and extensions to functions of two variables are provided in the paper.

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来源期刊

Aequationes Mathematicae MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.70

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： aequationes mathematicae is an international journal of pure and applied mathematics, which emphasizes functional equations, dynamical systems, iteration theory, combinatorics, and geometry. The journal publishes research papers, reports of meetings, and bibliographies. High quality survey articles are an especially welcome feature. In addition, summaries of recent developments and research in the field are published rapidly.