Analytic inequalities. Recent advances
type: Item
instance of: scholarly article
title: Analytic inequalities. Recent advances
zbMATH Open document ID: 1238.26003
author: B. G. Pachpatte
published in: Atlantis Studies in Mathematics
publication date: 2012-01-06T00:00:00Z
review text: 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.
reviewed by: Teodora-Liliana Rădulescu
Mathematics Subject Classification ID: 26-01
Mathematics Subject Classification ID: 26D07
Mathematics Subject Classification ID: 26D20
zbMATH DE Number: 5995608
zbMATH Keywords: Grüss and Chebyshev--type inequalities
zbMATH Keywords: inequalities
zbMATH Keywords: inequalities for convex functions
zbMATH Keywords: Ostrowski--type inequalities
zbMATH Keywords: Trapezoid--type inequalities
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5995608