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Improvement and further generalization of inequalities of Ostrowski-Grüss type

✍ Scribed by M. Matić; J. Pečarić; N. Ujević

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
602 KB
Volume
39
Category
Article
ISSN
0898-1221

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📜 SIMILAR VOLUMES

A unified approach to some inequalities
A unified approach to some inequalities of Ostrowski-Grüss type
✍ Shijun Yang 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 425 KB

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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New bounds for the first inequality of Ostrowski-Grüss type and applications
✍ N. Ujević 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 325 KB

## 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.

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✍ M. Matić 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 663 KB

we prove an inequality of Griiss type and use it to improve strictly some general Euler-Griiss type inequalities.. All improved inequalities are sharp.

Taylor–Widder representation formulae an
Taylor–Widder representation formulae and Ostrowski, Grüss, integral means and Csiszar type inequalities
✍ George A. Anastassiou 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 275 KB

Based on the very general Taylor-Widder formula, several representation formulae are developed. By applying these are developed very general inequalities of types: Ostrowski, Grüss, comparison of means, Csiszar f -divergence. The estimates involve L p norms, any 1 ≤ p ≤ ∞.