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A new inequality of Ostrowski–Grüss type and applications to some numerical quadrature rules

✍ Scribed by Marek Niezgoda

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 517 KB
Volume: 58
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2009.03.089

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✦ Synopsis

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.

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