Frontiers in Mathematics

Nikolova, Ludmila; Persson, Lars-Erik; Varošanec, Sanja

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.

Details

Published by: Birkhäuser

Publication Date: 2025-04-27

Format: Paperback

ISBN-13: 9783031833717

DOI: 10.1007/978-3-031-83372-4

Dimensions: 240cm x168cm

Pages: 144