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An inequality of Ostrowski-Grüss' type and its applications to the estimation of error bounds for some special means and for some numerical quadrature rules

✍ Scribed by S.S. Dragomir; S. Wang


Book ID
108458701
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
226 KB
Volume
33
Category
Article
ISSN
0898-1221

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A new inequality of Ostrowski–Grüss type
✍ 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.