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Some new error inequalities for a generalized quadrature rule of open type

✍ Scribed by Wenjun Liu; Yanan Sun; Qilin Zhang

Book ID
113511934
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
235 KB
Volume
62
Category
Article
ISSN
0898-1221

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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.