Continuous Versions of Some Classical Inequalities

By Ludmila Nikolova, Sanja Varošanec, Lars-Erik Persson

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.

• Format: Paperback
• Language: English
• ISBN: 3031833716
• ISBN13: 9783031833717
• Release Date: April 2025
• Publisher: Birkhauser
• Length: 144 Pages
• Weight: 0.60 lbs.
• Dimensions: 0.4" x 6.4" x 9.1"