关于时标上的McShane积分

数学季刊 ›› 2012, Vol. 27 ›› Issue (4): 556-561.

关于时标上的McShane积分

1. College of Science, Linyi University 2. School of Mathematics and Statistics, Hubei Normal University

收稿日期:2011-04-12 出版日期:2012-12-30 发布日期:2023-03-15
作者简介:LIU De-hua(1980-), male, native of Linyi, Shandong, a lecturer of Linyi University, M.S.D., engages in non-absolute integral theory.

On the McShane Integral on Time Scales

1. College of Science, Linyi University 2. School of Mathematics and Statistics, Hubei Normal University

Received:2011-04-12 Online:2012-12-30 Published:2023-03-15
About author:LIU De-hua(1980-), male, native of Linyi, Shandong, a lecturer of Linyi University, M.S.D., engages in non-absolute integral theory.

摘要/Abstract

摘要： In this paper, we introduce and study the concept of McShane delta integral on time scales. We discuss the relationship between McShane delta integral and Henstock delta integral, and prove a dominated convergence theorems for the McShane delta integral.

关键词: time scales, McShane integral, delta integral

Abstract: In this paper, we introduce and study the concept of McShane delta integral on time scales. We discuss the relationship between McShane delta integral and Henstock delta integral, and prove a dominated convergence theorems for the McShane delta integral.

Key words: time scales, McShane integral, delta integral

中图分类号:

O172.2

刘德华, 赵大方. 关于时标上的McShane积分[J]. 数学季刊, 2012, 27(4): 556-561.

LIU De-hua, ZHAO Da-fang.. On the McShane Integral on Time Scales[J]. Chinese Quarterly Journal of Mathematics, 2012, 27(4): 556-561.

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