Taylor–Widder representation formulae and Ostrowski, Grüss, integral means and Csiszar type inequalities

✍ Scribed by George A. Anastassiou

• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 275 KB
• Volume: 54
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/j.camwa.2006.09.010

✦ Synopsis

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 ≤ ∞.