Inequalities Based on Sobolev Representations

• Main Author: Anastassiou, George A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2011.
• Series: SpringerBriefs in Mathematics,
• Subjects: Mathematics.; Functions of real variables.; Statistics.; Engineering design.; Real Functions.; Statistics, general.; Engineering Design.

Inequalities based on Sobolev Representations deals exclusively with very general tight integral inequalities of Chebyshev-Grüss, Ostrowski types and of integral means, all of which depend upon the Sobolev integral representations of functions.  Applications illustrate inequalities that engage in or...

Table of Contents:

•  Part 1. -Univariate Integral Inequalities based on Sobolev representations
• Introduction
• Background. -Main Results. -Applications
• References.  Part 2
• Multivariate Integral Inequalities deriving from Sobolev representations.-Introduction.-Background.-Main Results
• Applications, References.