王才士.S-积分与Gronwall不等式(英文)[J].数学研究及应用,2005,25(3):407~413 |
S-积分与Gronwall不等式(英文) |
S-integral and Gronwall's Inequality |
投稿时间:2003-03-10 |
DOI:10.3770/j.issn:1000-341X.2005.03.004 |
中文关键词: S-积分 Gronwall-Bellman不等式 |
英文关键词:S-integral Gronwall-Bellman's inequality |
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中文摘要: |
S-积分是利用Thomson的局部系定义的一种广义Riemann积分.本文证明了针对S-积分的Gronwall-Bellman不等式.作为特例,我们也获得了针对Henstock积分和Burkill近似连续积分的Gronwall-Bellman不等式. |
英文摘要: |
The S-integral is a generalized integral of Riemann type which is defined in terms of the Thomson's local systems. In this note we prove Gronwall-Bellman's inequality for the S-integral. As special cases we also obtain Gronwall-Bellman's inequalities for the Henstock integral and the Burkill approximately continuous integral. |
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