定义在平面上凸紧凑集合上的函数的有界变化

Q1 Mathematics

Arab Journal of Basic and Applied Sciences Pub Date : 2023-11-20 DOI:10.1080/25765299.2023.2278247

Mireya Bracamonte, Juan Tutasi

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引用次数: 0

摘要

摘要本文定义了函数的变异，其域是平面中的凸紧凑集合。此外，除了提出满足这种变化的性质外，还研究了具有有限变化的函数所形成的向量空间，证明它是一个巴拿赫空间，其元素可以表示为非递减函数之差。

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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Bounded variation of functions defined on a convex and compact set in the plane

Abstract In this paper, the variation of functions has been defined, whose domain is a convex and compact set in the plane. Furthermore, in addition to presenting properties that satisfy this variation, the vector space formed by functions with finite variation is studied, demonstrating that it is a Banach space and its elements can be expressed as the difference of non-decreasing functions.

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来源期刊

Arab Journal of Basic and Applied Sciences Mathematics-Mathematics (all)

CiteScore

5.80

自引率

0.00%

发文量

审稿时长

36 weeks