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

• Κύριοι συγγραφείς: Yang, Bicheng (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Rassias, Michael Th (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Έκδοση: 1st ed. 2019.
• Σειρά: SpringerBriefs in Mathematics,
• Θέματα: Operator theory.; Dynamics.; Ergodic theory.; Functions of real variables.; Numerical analysis.; Operator Theory.; Dynamical Systems and Ergodic Theory.; Real Functions.; Numerical Analysis.

 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. . 

 1. Introduction -- 2.Equivalent Statements of Hilbert-type integral inequalities -- 3.Equivalent Statements of the Reverse Hilbert-Type Integral Inequalities -- 4. Equivalent Statements of Hardy-Type Integral Inequalities -- 5.Equivalent Property of the Reverse Hardy-Type Integral Inequalities -- References. .