Means and Their Inequalities

Means and Their Inequalities
Author: P.S. Bullen
Publisher: Springer Science & Business Media
Total Pages: 476
Release: 2013-06-29
Genre: Mathematics
ISBN: 9401722269

Approach your problems from the right end It isn't !hat they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal 0/ Fa/her 'The Hermit Oad in Crane Feathers' in R. Brown 'The point of a Pin'. van GuJik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fie1ds does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "complete1y integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing c1assification schemes. They draw upon wide1y different sections of mathematics.

Convex Functions and Their Applications

Convex Functions and Their Applications
Author: Constantin P. Niculescu
Publisher: Springer
Total Pages: 430
Release: 2018-06-08
Genre: Mathematics
ISBN: 3319783378

Thorough introduction to an important area of mathematics Contains recent results Includes many exercises

Classical and New Inequalities in Analysis

Classical and New Inequalities in Analysis
Author: Dragoslav S. Mitrinovic
Publisher: Springer Science & Business Media
Total Pages: 739
Release: 2013-04-17
Genre: Mathematics
ISBN: 9401710430

This volume presents a comprehensive compendium of classical and new inequalities as well as some recent extensions to well-known ones. Variations of inequalities ascribed to Abel, Jensen, Cauchy, Chebyshev, Hölder, Minkowski, Stefferson, Gram, Fejér, Jackson, Hardy, Littlewood, Po'lya, Schwarz, Hadamard and a host of others can be found in this volume. The more than 1200 cited references include many from the last ten years which appear in a book for the first time. The 30 chapters are all devoted to inequalities associated with a given classical inequality, or give methods for the derivation of new inequalities. Anyone interested in equalities, from student to professional, will find their favorite inequality and much more.

Generalized Bessel Functions of the First Kind

Generalized Bessel Functions of the First Kind
Author: Árpád Baricz
Publisher: Springer Science & Business Media
Total Pages: 225
Release: 2010-05-25
Genre: Mathematics
ISBN: 3642122299

This volume studies the generalized Bessel functions of the first kind by using a number of classical and new findings in complex and classical analysis. It presents interesting geometric properties and functional inequalities for these generalized functions.

Advances in Mathematical Inequalities and Applications

Advances in Mathematical Inequalities and Applications
Author: Praveen Agarwal
Publisher: Springer
Total Pages: 351
Release: 2018-12-31
Genre: Mathematics
ISBN: 9811330131

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 Inequalities for Series

Advances in Inequalities for Series
Author: Sever Silvestru Dragomir
Publisher: Nova Publishers
Total Pages: 252
Release: 2008
Genre: Mathematics
ISBN: 9781600219207

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.