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A companion of Dragomir’s generalization of the Ostrowski inequality and applications to numerical integration

✍ Scribed by M. W. Alomari

Book ID
118811665
Publisher
Springer
Year
2012
Tongue
English
Weight
261 KB
Volume
64
Category
Article
ISSN
0041-5995

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A new generalization of Ostrowski's integral inequality is established. A consequence of the generalization is that we can derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae. These estimates are improvements of some recently obtained estimates. Applications

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In this paper we derive some Grüss and Ostrowski-Grüss type inequalities for functions in L p -spaces. As applications, we provide some new estimates for the error in some numerical integration rules. In particular, we deal with the mid-point and trapezoid quadrature rules.