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Advances in Mathematical Inequalities and Applications

Author : Praveen Agarwal

Publisher : Springer

Page : 349 pages

File Size : 18,73 MB

Release : 2018-12-31

Category : Mathematics

ISBN : 9811330131

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Book Description

This book is a collection of original research and survey articles on mathematical inequalities and their numerous applications in diverse areas of mathematics and engineering. It includes chapters on convexity and related concepts; inequalities for mean values, sums, functions, operators, functionals, integrals and their applications in various branches of mathematics and related sciences; fractional integral inequalities; and weighted type integral inequalities. It also presents their wide applications in biomathematics, boundary value problems, mechanics, queuing models, scattering, and geomechanics in a concise, but easily understandable way that makes the further ramifications and future directions clear. The broad scope and high quality of the contributions make this book highly attractive for graduates, postgraduates and researchers. All the contributing authors are leading international academics, scientists, researchers and scholars.



Advances in Mathematical Inequalities

Author : Shigeru Furuichi

Publisher : Walter de Gruyter GmbH & Co KG

Page : 267 pages

File Size : 22,54 MB

Release : 2020-01-20

Category : Mathematics

ISBN : 3110643472

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Book Description

Mathematical inequalities are essential tools in mathematics, natural science and engineering. This book gives an overview on recent advances. Some generalizations and improvements for the classical and well-known inequalities are described. They will be applied and further developed in many fields. Applications of the inequalities to entropy theory and quantum physics are also included.



Advances in Mathematical Inequalities

Author : Shigeru Furuichi

Publisher :

Page : 230 pages

File Size : 14,58 MB

Release : 2020-02-13

Category :

ISBN : 9783110643435

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Book Description

Mathematical inequalities are essential tools in mathematics, natural science and engineering. This book gives an overview on recent advances. Some generalizations and improvements for the classical and well-known inequalities are described which will are applied and further developed in many fields. Applications of the inequalities to entropy theory and quantum physics are also included.



Advances in Inequalities for Series

Author : Sever Silvestru Dragomir

Publisher : Nova Publishers

Page : 252 pages

File Size : 50,8 MB

Release : 2008

Category : Mathematics

ISBN : 9781600219207

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Book Description

This research monograph, deals with identities and inequalities relating to series and their application. This is the first volume of research monographs on advances in inequalities for series. All of the papers in this volume have been fully peer reviewed. Some papers in this volume appear in print for the first time, detailing many technical results and some other papers offer a review of a number of recently published results. The papers appear in author alphabetical order and not in mathematics subject classification. There are fifteen diverse papers in this volume each with its own speciality. An important issue in many applications of Probability Theory is finding an approximate measure of distance, or discrimination, between two probability distributions. A number of divergence measures for this purpose have been proposed.





Mathematical Inequalities

Author : Pietro Cerone

Publisher : CRC Press

Page : 391 pages

File Size : 48,91 MB

Release : 2010-12-01

Category : Mathematics

ISBN : 1439848971

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Book Description

Drawing on the authors' research work from the last ten years, Mathematical Inequalities: A Perspective gives readers a different viewpoint of the field. It discusses the importance of various mathematical inequalities in contemporary mathematics and how these inequalities are used in different applications, such as scientific modeling.The authors



Mathematical Inequalities

Author : B. G. Pachpatte

Publisher : Elsevier

Page : 606 pages

File Size : 36,88 MB

Release : 2005-05-04

Category : Mathematics

ISBN : 0080459390

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Book Description

The book addresses many important new developments in the field. All the topics covered are of great interest to the readers because such inequalities have become a major tool in the analysis of various branches of mathematics. * It contains a variety of inequalities which find numerous applications in various branches of mathematics.* It contains many inequalities which have only recently appeared in the literature and cannot yet be found in other books.* It will be a valuable reference for someone requiring a result about inequalities for use in some applications in various other branches of mathematics.* Each chapter ends with some miscellaneous inequalities for futher study.* The work will be of interest to researchers working both in pure and applied mathematics, and it could also be used as the text for an advanced graduate course.



Advances in Inequalities for Special Functions

Author : Pietro Cerone

Publisher :

Page : 186 pages

File Size : 10,40 MB

Release : 2008

Category : Mathematics

ISBN :

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Book Description

This book is the first in a collection of research monographs that are devoted to presenting recent research, development and use of Mathematical Inequalities for Special Functions. All the papers incorporated in the book have peen peer-reviewed and cover a range of topics that include both survey material of previously published works as well as new results. In his presentation on special functions approximations and bounds via integral representation, Pietro Cerone utilises the classical Stevensen inequality and bounds for the Ceby sev functional to obtain bounds for some classical special functions. The methodology relies on determining bounds on integrals of products of functions. The techniques are used to obtain novel and useful bounds for the Bessel function of the first kind, the Beta function, the Zeta function and Mathieu series.



Advances in Variational and Hemivariational Inequalities

Author : Weimin Han

Publisher : Springer

Page : 389 pages

File Size : 38,46 MB

Release : 2015-03-02

Category : Mathematics

ISBN : 3319144901

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Book Description

This volume is comprised of articles providing new results on variational and hemivariational inequalities with applications to Contact Mechanics unavailable from other sources. The book will be of particular interest to graduate students and young researchers in applied and pure mathematics, civil, aeronautical and mechanical engineering, and can be used as supplementary reading material for advanced specialized courses in mathematical modeling. New results on well posedness to stationary and evolutionary inequalities and their rigorous proofs are of particular interest to readers. In addition to results on modeling and abstract problems, the book contains new results on the numerical methods for variational and hemivariational inequalities.