inequalities cambridge mathematical library

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Inequalities

Author : G. H. Hardy
ISBN : 9781107647398
Genre : Mathematics
File Size : 79. 7 MB
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This classic of the mathematical literature forms a comprehensive study of the inequalities used throughout mathematics. First published in 1934, it presents clearly and exhaustively both the statement and proof of all the standard inequalities of analysis. The authors were well known for their powers of exposition and were able here to make the subject accessible to a wide audience of mathematicians.

Advances In Mathematical Inequalities And Applications

Author : Praveen Agarwal
ISBN : 9789811330131
Genre : Mathematics
File Size : 79. 45 MB
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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.

Function Spaces And Inequalities

Author : Pankaj Jain
ISBN : 9789811061196
Genre : Mathematics
File Size : 40. 5 MB
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This book features original research and survey articles on the topics of function spaces and inequalities. It focuses on (variable/grand/small) Lebesgue spaces, Orlicz spaces, Lorentz spaces, and Morrey spaces and deals with mapping properties of operators, (weighted) inequalities, pointwise multipliers and interpolation. Moreover, it considers Sobolev–Besov and Triebel–Lizorkin type smoothness spaces. The book includes papers by leading international researchers, presented at the International Conference on Function Spaces and Inequalities, held at the South Asian University, New Delhi, India, on 11–15 December 2015, which focused on recent developments in the theory of spaces with variable exponents. It also offers further investigations concerning Sobolev-type embeddings, discrete inequalities and harmonic analysis. Each chapter is dedicated to a specific topic and written by leading experts, providing an overview of the subject and stimulating future research.

Tapas In Experimental Mathematics

Author : Tewodros Amdeberhan
ISBN : 9780821843178
Genre : Mathematics
File Size : 29. 42 MB
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Experimental Mathematics is a recently structured field of Mathematics that uses a computer and advanced computing technology as tools to perform experiments such as analysis of examples, testing of new ideas, and the search of patterns. The development of a broad spectrum of mathematical software products such as MathematicaR and MapleTM has allowed mathematicians of diverse backgrounds and interests to make the computer an essential part of their daily working environment. This volume represents the AMS Special Session on Experimental Mathematics held in January 2007 in New Orleans. This gathering is part of an annual meeting of a growing number of scientists that have been labeled experimental mathematicians. The guiding principles of the field, some of which are included in the introduction to these proceedings, are similar to those of laboratory experiments in the physical and biological sciences.

Analytic Aspects Of Convexity

Author : Gabriele Bianchi
ISBN : 9783319718347
Genre : Mathematics
File Size : 63. 66 MB
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This book presents the proceedings of the international conference Analytic Aspects in Convexity, which was held in Rome in October 2016. It offers a collection of selected articles, written by some of the world’s leading experts in the field of Convex Geometry, on recent developments in this area: theory of valuations; geometric inequalities; affine geometry; and curvature measures. The book will be of interest to a broad readership, from those involved in Convex Geometry, to those focusing on Functional Analysis, Harmonic Analysis, Differential Geometry, or PDEs. The book is a addressed to PhD students and researchers, interested in Convex Geometry and its links to analysis.

Convex Functions And Their Applications

Author : Constantin Niculescu
ISBN : 0387243003
Genre : Mathematics
File Size : 74. 22 MB
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Thorough introduction to an important area of mathematics Contains recent results Includes many exercises

A Course Of Pure Mathematics Centenary Edition

Author : G. H. Hardy
ISBN : 9780521720557
Genre : Mathematics
File Size : 87. 78 MB
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There are few textbooks of mathematics as well-known as Hardy's Pure Mathematics. Since its publication in 1908, this classic book has inspired successive generations of budding mathematicians at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of the missionary with the rigour of the purist in his exposition of the fundamental ideas of the differential and integral calculus, of the properties of infinite series and of other topics involving the notion of limit. Celebrating 100 years in print with Cambridge, this edition includes a Foreword by T. W. Körner, describing the huge influence the book has had on the teaching and development of mathematics worldwide. Hardy's presentation of mathematical analysis is as valid today as when first written: students will find that his economical and energetic style of presentation is one that modern authors rarely come close to.

Inequality Theory And Applications

Author : Yeol Je Cho
ISBN : 1590331885
Genre : Mathematics
File Size : 24. 40 MB
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Inequality Theory & Applications

Annales De La Facult Des Sciences De Toulouse

Author :
ISBN : UOM:39015072641825
Genre : Mathematics
File Size : 83. 29 MB
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Probabilistic Inequalities

Author : George A. Anastassiou
ISBN : 981428078X
Genre : Mathematics
File Size : 64. 73 MB
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In this monograph, The author presents univariate and multivariate probabilistic inequalities with coverage on basic probabilistic entities like expectation, variance, moment generating function and covariance. These are built on the recent classical form of real analysis inequalities which are also discussed in full details. This treatise is the culmination and crystallization of the author's last two decades of research work in related discipline. Each of the chapters is self-contained and a few advanced courses can be taught out of this book. Extensive background and motivations for specific topics are given in each chapter. A very extensive list of references is also provided at the end. The topics covered in this unique book are wide-ranging and diverse. The opening chapters examine the probabilistic Ostrowski type inequalities, and various related ones, As well as the largely discusses about the Grothendieck type probabilistic inequalities. The book is also about inequalities in information theory and The Csiszar's f-Divergence between probability measures. A great section of the book is also devoted to The applications in various directions of Geometry Moment Theory. Also, The development of the Gruuml;ss type and ChebyshevGruuml;ss type inequalities for Stieltjes integrals and The applications in probability are explored in detail. The final chapters discuss the important real analysis methods with potential applications to stochastics. The book will be of interest to researchers and graduate students, and it is also seen as an invaluable reference book to be acquired by all science libraries as well as seminars that conduct discussions on related topics.

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