Continuous Versions of Some Classical Inequalities von Ludmila Nikolova | ISBN 9783031833724

Continuous Versions of Some Classical Inequalities

von Ludmila Nikolova, Lars-Erik Persson und Sanja Varošanec
Mitwirkende
Autor / AutorinLudmila Nikolova
Autor / AutorinLars-Erik Persson
Autor / AutorinSanja Varošanec
Buchcover Continuous Versions of Some Classical Inequalities | Ludmila Nikolova | EAN 9783031833724 | ISBN 3-031-83372-4 | ISBN 978-3-031-83372-4

Continuous Versions of Some Classical Inequalities

von Ludmila Nikolova, Lars-Erik Persson und Sanja Varošanec
Mitwirkende
Autor / AutorinLudmila Nikolova
Autor / AutorinLars-Erik Persson
Autor / AutorinSanja Varošanec

This book presents the new fascinating area of continuous inequalities. It was recently discovered that several of the classical inequalities can be generalized and given in a more general continuous/family form. The book states, proves and discusses a number of classical inequalities in such continuous/family forms. Moreover, since many of the classical inequalities hold also in a refined form, it is shown that such refinements can be proven in the more general continuous/family frame.

Written in a pedagogical and reader-friendly way, the book gives clear explanations and examples on how this technique works. The presented interplay between classical theory of inequalities and these newer continuous/family forms, including some corresponding open questions, will appeal to a broad audience of mathematicians and serve as a source of inspiration for further research.