Continuous Versions of Some Classical Inequalities E-Book

Ludmila Nikolova

• Herausgeber: Springer Nature Switzerland
• Kategorie: Wissenschaft und neue Technologien
• Serie: Frontiers in Mathematics
• Sprache: Englisch

Veröffentlichungsjahr: 2025

Beschreibung

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.