we prove an inequality of Griiss type and use it to improve strictly some general Euler-Griiss type inequalities.. All improved inequalities are sharp.
Some inequalities of euler-grüss type
✍ Scribed by Lj. Dedić; M. Matić; J. Pečarić
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 688 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
✦ Synopsis
Applying the Griias inequali@ to the Euler type formulae we prove some Euler-G&atype inequalities.
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A connection between Grüss inequality and the error of best approximation is revealed. A Grüss-type inequality that unifies the continuous and discrete versions of the classical Grüss inequalities is established. 2002 Elsevier Science (USA)
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.