On the ostrowski's inequality for Riemann-Stieltjes integral and applications

被引：0
作者：
Dragomir, S.S. [1 ]
机构：
[1] School of Communications and Informatics, Victoria University of Technology, Melbourne City, MC 8001
来源：
Journal of Applied Mathematics and Computing | 2000年 / 7卷 / 03期
关键词：
Ostrowski Inequality; Riemann-Stieltjes Integral;
D O I：
10.1007/bf03012272
中图分类号：
学科分类号：
摘要：
An Ostrowski type integral inequality for the Riemann-Stieltjes Integral R b a f (t) du (t) , where f is assumed to be of bounded variation on [a, b] and u is of r ? H?Hölder type on the same interval, is given. Applications to the approximation problem of the Riemann-Stieltjes integral in terms of Riemann-Stieltjes sums are also pointed out. © 2000 Korean Society for Computational & Applied Mathematics and Korean SIGCAM.
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页码：611 / 627
页数：16
相关论文
共 7 条
  • [1] Dragomir S.S., On the Ostrowski's integral inequality for mappings with bounded variation and applications, Preprint, RGMIA Research Report Collection, 2, 1, pp. 63-69, (1999)
  • [2] Dragomir R.S.S., On the Ostrowski Inequality for the Riemann-Stieltjes integral b a f(t)du(t), where f is of Hölder type and u is of bounded variation and applications
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