多重K -黎曼积分

Q3 Mathematics Abstract and Applied Analysis Pub Date : 2021-04-22 DOI:10.1155/2021/6690328

Oussama Kabbouch, M. Najmeddine

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引用次数: 0

摘要

本文的目的是将定义在上的函数的-黎曼可积性的概念推广到定义在矩形方框上的函数。作为阶跃函数的推广，我们引入了阶跃函数的概念，使我们能够给出-黎曼可积函数的等价定义。

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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The Multiple K -Riemann Integral

The aim of this paper is to extend the notion of - Riemann integrability of functions defined over to functions defined over a rectangular box of . As a generalization of step functions, we introduce a notion of - step functions which allows us to give an equivalent definition of the - Riemann integrable functions.

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来源期刊

Abstract and Applied Analysis 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

3.5 months

期刊介绍： Abstract and Applied Analysis is a mathematical journal devoted exclusively to the publication of high-quality research papers in the fields of abstract and applied analysis. Emphasis is placed on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimization theory, and control theory. Abstract and Applied Analysis supports the publication of original material involving the complete solution of significant problems in the above disciplines. Abstract and Applied Analysis also encourages the publication of timely and thorough survey articles on current trends in the theory and applications of analysis.