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A generalization of Ostrowski's inequality and applications in numerical integration

✍ Scribed by N. Ujević

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
251 KB
Volume
17
Category
Article
ISSN
0893-9659

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✦ Synopsis

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 in numerical integration are also given.

📜 SIMILAR VOLUMES

A new inequality of Ostrowski–Grüss type
A new inequality of Ostrowski–Grüss type and applications to some numerical quadrature rules
✍ Marek Niezgoda 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 517 KB

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.