A new way to think about Ostrowski-like type inequalities
نویسندگان
چکیده
a f (x) dx− b− a n n ∑ i=1 f (a+ xi (b− a)) ∣∣∣∣ 5 2m+ 5 4 (b− a)m+1 (m+ 1)! (S − s) (?) holds, where S := supa5x5b f (m)(x), s := infa5x5b f (m)(x) and for suitable x1, x2, . . . , xn. It is worth noticing that n,m are arbitrary numbers. This means that the estimate in (?) is more accurate whenm is large enough. Our approach is also elementary. © 2010 Elsevier Ltd. All rights reserved.
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ورودعنوان ژورنال:
- Computers & Mathematics with Applications
دوره 59 شماره
صفحات -
تاریخ انتشار 2010