bound on error of Simpson’s rule
If f is Riemann integrable on [a,b] and |f(4)(x)|≤M for all x∈[a,b], then
|b∫af(x)𝑑x-(b-a3n)(f(a)+f(b)+4n2∑j=1f(a+(b-a)(2j-1)n)+6n-22∑j=1f(a+(b-a)(2j)n))|≤M(b-a)5180n4. |
Title | bound on error of Simpson’s rule |
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Canonical name | BoundOnErrorOfSimpsonsRule |
Date of creation | 2013-03-22 15:57:52 |
Last modified on | 2013-03-22 15:57:52 |
Owner | Wkbj79 (1863) |
Last modified by | Wkbj79 (1863) |
Numerical id | 7 |
Author | Wkbj79 (1863) |
Entry type | Result |
Classification | msc 41A55 |
Classification | msc 28-00 |