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.
A unified approach to some inequalities of Ostrowski-Grüss type
✍ Scribed by Shijun Yang
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 425 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
Based on the Euler-Maclaurin formula in the spirit of [1], we provide a unified approach to some inequalities of Ostrowski-Griiss type, which include some existing results as special cases. Some illustrative examples are also included.
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