Continuous Versions of Some Classical Inequalities (Frontiers in Mathematics)
Continuous Versions of Some Classical Inequalities (Frontiers in Mathematics) by Ludmila Nikolova, Lars-Erik Persson, Sanja Varošanec
English | April 27, 2025 | ISBN: 3031833716 | 156 pages | PDF | 2.19 Mb
English | April 27, 2025 | ISBN: 3031833716 | 156 pages | PDF | 2.19 Mb
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.
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