Some integral inequalities for functions with (n-1)st derivatives of bounded variation
نویسندگان
چکیده
In this paper, we generalize Cerone’s results, and a unified treatment of error estimates for a general inequality satisfying f (n−1) being of bounded variation is presented. We derive the estimates for the remainder terms of the mid-point, trapezoid, and Simpson formulas. All constants of the errors are sharp. Applications in numerical integration are also given. c © 2007 Elsevier Ltd. All rights reserved.
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عنوان ژورنال:
- Computers & Mathematics with Applications
دوره 54 شماره
صفحات -
تاریخ انتشار 2007