Sharp inequalities of Simpson type and Ostrowski type
✍ Scribed by N. Ujević
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 313 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
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 the obtained error bounds. Applications in numerical integration are also given.
📜 SIMILAR VOLUMES
An Ostrowski type inequality for a double integral is derived via a ∆∆-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.
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.