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New bounds for the first inequality of Ostrowski-Grüss type and applications

✍ Scribed by N. Ujević

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
325 KB
Volume
46
Category
Article
ISSN
0898-1221

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✦ Synopsis

Some new bounds

for the first inequality of Ostrowsld-Griiss type are derived. These new bounds can be much better than some recently obtained bounds. 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.