Intelligent Comparisons: Analytic Inequalities

• Main Author: Anastassiou, George A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Studies in Computational Intelligence, 609
• Subjects: Engineering.; Artificial intelligence.; Mathematical analysis.; Analysis (Mathematics).; Computational intelligence.; Computational Intelligence.; Artificial Intelligence (incl. Robotics).; Analysis.

This monograph presents recent and original work of the author on inequalities in real, functional and fractional analysis. The chapters are self-contained and can be read independently, they include an extensive list of references per chapter. The book’s results are expected to find applications in...

Table of Contents:

• Fractional Polya Integral Inequality
• Univariate Fractional Polya Integral Inequalities
• About Multivariate General Fractional Polya Integral Inequalities
• Balanced Canavati Fractional Opial Inequalities
• Fractional Representation Formulae and Fractional Ostrowski Inequalities
• Basic Fractional Integral Inequalities
• Harmonic Multivariate Ostrowski and Grüss Inequalities
• Fractional Ostrowski and Grüss Inequalities Using Several Functions
• Further Interpretation of Some Fractional Ostrowski and Grüss Type Inequalities
• Multivariate Fractional Representation Formula and Ostrowski Inequality
• Fractional Representation Formulae and Ostrowski Inequalities
• About Multivariate Lyapunov Inequalities
• Ostrowski Type Inequalities for Semigroups
• About Ostrowski Inequalities for Cosine and Sine Operator Functions
• About Hilbert-Pachpatte Inequalities
• About Ostrowski and Landau Type Inequalities
• Multidimensional Ostrowski Type Inequalities
• About Fractional Representation Formulae and Right Fractional Inequalities
• About Canavati fractional Ostrowski inequalities
• The Most General Fractional Representation Formula
• Rational Inequalities for Integral Operators Using Convexity
• Fractional Integral Inequalities with Convexity
• Vectorial Inequalities for Integral Operators
• Vectorial Splitting Rational Lp Inequalities for Integral Operators
• Separating Rational Lp Inequalities for Integral Operators
• About Vectorial Hardy Type Fractional Inequalities
• About Vectorial Fractional Integral Inequalities Using Convexity.