Analytic inequalities. Recent advances
This book provides a selection of inequalities that are used in linear analysis and other related fields. The volume under review deals with several classical inequalities, including the Chebyshev, Grüss, Trapezoid, Ostrowski, Hadamard and Jensen type inequalities. The material included in the monograph is recent and hard and it is inspired by various applications to several fields. It is accessible to any reader with a reasonable background in real analysis and an acquaintance with its related areas. All results are presented in an elementary way and the book could also serve as a textbook for an advanced graduate course. The content of the book is divided into five chapters, as follows: 1. Grüss-and Chebyshev-type inequalities; 2. Multidimensional Grüss-Chebyshev and Trapezoid-type inequalities; 3. Ostrowski-type inequalities; 4. Multidimensional Ostrowski-type inequalities; 5. Inequalities via convex functions. The book is mainly addressed to mathematicians, engineers, and to graduate students, scientists and scholars wishing to keep abreast of this important area of research.
scientific article; zbMATH DE number 5995608