Analytic Inequalities : Recent Advances

For more than a century, the study of various types of inequalities has been the focus of great attention by many researchers, interested both in the theory and its applications. In particular, there exists a very rich literature related to the well known Cebysev, Gruss, Trapezoid, Ostrowski, Hadama...

Full description

Main Author: Pachpatte, B.G.
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Paris Atlantis Press 2012, 2012
Edition:1st ed. 2012
Series:Atlantis Studies in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
LEADER 02347nmm a2200289 u 4500
001 EB000402455
003 EBX01000000000000000255508
005 00000000000000.0
007 cr|||||||||||||||||||||
008 130626 ||| eng
020 |a 9789491216442 
100 1 |a Pachpatte, B.G. 
245 0 0 |a Analytic Inequalities  |h Elektronische Ressource  |b Recent Advances  |c by B.G. Pachpatte 
250 |a 1st ed. 2012 
260 |a Paris  |b Atlantis Press  |c 2012, 2012 
300 |a X, 306 p  |b online resource 
505 0 |a Grüss- and Čebyšev-type inequalities -- Multidimensional Grüss-Čebyšev and -Trapezoid-type inequalities -- Ostrowski-type inequalities -- Multidimensional Ostrowski-type inequalities -- Inequalities via convex functions 
653 |a Functions of real variables 
653 |a Real Functions 
710 2 |a SpringerLink (Online service) 
041 0 7 |a eng  |2 ISO 639-2 
989 |b Springer  |a Springer eBooks 2005- 
490 0 |a Atlantis Studies in Mathematics 
856 |u https://doi.org/10.2991/978-94-91216-44-2?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 515.8 
520 |a For more than a century, the study of various types of inequalities has been the focus of great attention by many researchers, interested both in the theory and its applications. In particular, there exists a very rich literature related to the well known Cebysev, Gruss, Trapezoid, Ostrowski, Hadamard and Jensen type inequalities. The present monograph is an attempt to organize recent progress related to the above inequalities, which we hope will widen the scope of their applications. The field to be covered is extremely wide and it is impossible to treat all of these here. The material included in the monograph is recent and hard to find in other books. 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 book deserves a warm welcome to those who wish to learn the subject and it will also be most valuable as a source of reference in the field. It will be invaluable reading for mathematicians and engineers and also for graduate students, scientists and scholars wishing to keep abreast of this important area of research