Some Ostrowski type inequalities
β Scribed by Zheng Liu
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 248 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0895-7177
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π SIMILAR VOLUMES
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.
sharp inequalities are derived. The first is a sharp Simpson's inequality and the second is a sharp inequality of Ostrowski type. The mentioned inequalities give error bounds for some known quadrature rules. These results enlarge applicability of the corresponding quadrature rules with respect to th
An Ostrowski type inequality for a double integral is derived via a ββ-integral on time scales; this generalizes an Ostrowski type inequality and some related results from Liu et al. ( 2010) [1]. Some new applications are also given.