On Hilbert-Type and Hardy-Type Integral Inequalities and Applications

• Main Authors: Yang, Bicheng (Author, http://id.loc.gov/vocabulary/relators/aut), Rassias, Michael Th (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: SpringerBriefs in Mathematics,
• Subjects: Operator theory.; Dynamics.; Ergodic theory.; Functions of real variables.; Numerical analysis.; Operator Theory.; Dynamical Systems and Ergodic Theory.; Real Functions.; Numerical Analysis.
• Physical Description: X, 145 p. 1 illus. online resource.
• ISBN: 9783030292683
• ISSN: 2191-8198
• DOI: 10.1007/978-3-030-29268-3

This book is aimed toward graduate students and researchers in mathematics, physics and engineering interested in the latest developments in analytic inequalities, Hilbert-Type and Hardy-Type integral inequalities, and their applications. Theories, methods, and techniques of real analysis and functional analysis are applied to equivalent formulations of Hilbert-type inequalities, Hardy-type integral inequalities as well as their parameterized reverses. Special cases of these integral inequalities across an entire plane are considered and explained. Operator expressions with the norm and some particular analytic inequalities are detailed through several lemmas and theorems to provide an extensive account of inequalities and operators. .