Title of article
Higher order Ostrowski type inequalities over Euclidean domains
Author/Authors
George A. Anastassiou، نويسنده , , Jerome A. Goldstein ?، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
7
From page
962
To page
968
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.
© 2007 Elsevier Inc. All rights reserved
Keywords
Sharp inequality , Multivariate inequality , high order derivatives , Ostrowski inequality , Higher order inequality
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2008
Journal title
Journal of Mathematical Analysis and Applications
Record number
936428
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