Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4621742 | Journal of Mathematical Analysis and Applications | 2008 | 7 Pages |
Abstract
The classical Ostrowski inequality for functions on intervals estimates the value of the function minus its average in terms of the maximum of its first derivative. This result is extended to functions on general domains using the L∞ norm of its nth partial derivatives. For radial functions on balls the inequality is sharp.
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