Advances in Mathematical Inequalities and Applications

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Author :
Publisher : Springer
ISBN 13 : 9811330131
Total Pages : 349 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Advances in Mathematical Inequalities and Applications by : Praveen Agarwal

Download or read book Advances in Mathematical Inequalities and Applications written by Praveen Agarwal and published by Springer. This book was released on 2018-12-31 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Author :
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110643472
Total Pages : 267 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Advances in Mathematical Inequalities by : Shigeru Furuichi

Download or read book Advances in Mathematical Inequalities written by Shigeru Furuichi and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-01-20 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher :
ISBN 13 : 9783110643435
Total Pages : 230 pages
Book Rating : 4.6/5 (434 download)

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Book Synopsis Advances in Mathematical Inequalities by : Shigeru Furuichi

Download or read book Advances in Mathematical Inequalities written by Shigeru Furuichi and published by . This book was released on 2020-02-13 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher : Nova Publishers
ISBN 13 : 9781600219207
Total Pages : 252 pages
Book Rating : 4.2/5 (192 download)

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Book Synopsis Advances in Inequalities for Series by : Sever Silvestru Dragomir

Download or read book Advances in Inequalities for Series written by Sever Silvestru Dragomir and published by Nova Publishers. This book was released on 2008 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Recent Advances in Geometric Inequalities

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Publisher : Springer Science & Business Media
ISBN 13 : 9401578427
Total Pages : 728 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Recent Advances in Geometric Inequalities by : Dragoslav S. Mitrinovic

Download or read book Recent Advances in Geometric Inequalities written by Dragoslav S. Mitrinovic and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Inequalities

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Author :
Publisher : Elsevier
ISBN 13 : 0080459390
Total Pages : 606 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Mathematical Inequalities by : B. G. Pachpatte

Download or read book Mathematical Inequalities written by B. G. Pachpatte and published by Elsevier. This book was released on 2005-05-04 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher :
ISBN 13 :
Total Pages : 186 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Advances in Inequalities for Special Functions by : Pietro Cerone

Download or read book Advances in Inequalities for Special Functions written by Pietro Cerone and published by . This book was released on 2008 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Inequalities

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Author :
Publisher : Springer
ISBN 13 : 3319053116
Total Pages : 249 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Inequalities by : Michael J. Cloud

Download or read book Inequalities written by Michael J. Cloud and published by Springer. This book was released on 2014-05-06 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a concise introduction to mathematical inequalities for graduate students and researchers in the fields of engineering and applied mathematics. It begins by reviewing essential facts from algebra and calculus and proceeds with a presentation of the central inequalities of applied analysis, illustrating a wide variety of practical applications. The text provides a gentle introduction to abstract spaces, such as metric, normed and inner product spaces. It also provides full coverage of the central inequalities of applied analysis, such as Young's inequality, the inequality of the means, Hölder's inequality, Minkowski's inequality, the Cauchy–Schwarz inequality, Chebyshev's inequality, Jensen's inequality and the triangle inequality. The second edition features extended coverage of applications, including continuum mechanics and interval analysis. It also includes many additional examples and exercises with hints and full solutions that may appeal to upper-level undergraduate and graduate students, as well as researchers in engineering, mathematics, physics, chemistry or any other quantitative science.

Advances in Variational and Hemivariational Inequalities

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Publisher : Springer
ISBN 13 : 3319144901
Total Pages : 383 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Advances in Variational and Hemivariational Inequalities by : Weimin Han

Download or read book Advances in Variational and Hemivariational Inequalities written by Weimin Han and published by Springer. This book was released on 2015-03-02 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Analytic Inequalities

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Publisher : Springer Science & Business Media
ISBN 13 : 9491216449
Total Pages : 310 pages
Book Rating : 4.4/5 (912 download)

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Book Synopsis Analytic Inequalities by : B.G. Pachpatte

Download or read book Analytic Inequalities written by B.G. Pachpatte and published by Springer Science & Business Media. This book was released on 2012-01-05 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advances in Matrix Inequalities

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Author :
Publisher : Springer Nature
ISBN 13 : 3030760472
Total Pages : 287 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Advances in Matrix Inequalities by : Mohammad Bagher Ghaemi

Download or read book Advances in Matrix Inequalities written by Mohammad Bagher Ghaemi and published by Springer Nature. This book was released on 2021-07-11 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained monograph unifies theorems, applications and problem solving techniques of matrix inequalities. In addition to the frequent use of methods from Functional Analysis, Operator Theory, Global Analysis, Linear Algebra, Approximations Theory, Difference and Functional Equations and more, the reader will also appreciate techniques of classical analysis and algebraic arguments, as well as combinatorial methods. Subjects such as operator Young inequalities, operator inequalities for positive linear maps, operator inequalities involving operator monotone functions, norm inequalities, inequalities for sector matrices are investigated thoroughly throughout this book which provides an account of a broad collection of classic and recent developments. Detailed proofs for all the main theorems and relevant technical lemmas are presented, therefore interested graduate and advanced undergraduate students will find the book particularly accessible. In addition to several areas of theoretical mathematics, Matrix Analysis is applicable to a broad spectrum of disciplines including operations research, mathematical physics, statistics, economics, and engineering disciplines. It is hoped that graduate students as well as researchers in mathematics, engineering, physics, economics and other interdisciplinary areas will find the combination of current and classical results and operator inequalities presented within this monograph particularly useful.

Advances on Fractional Inequalities

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Publisher : Springer Science & Business Media
ISBN 13 : 1461407036
Total Pages : 123 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Advances on Fractional Inequalities by : George A. Anastassiou

Download or read book Advances on Fractional Inequalities written by George A. Anastassiou and published by Springer Science & Business Media. This book was released on 2011-07-25 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances on Fractional Inequalities use primarily the Caputo fractional derivative, as the most important in applications, and presents the first fractional differentiation inequalities of Opial type which involves the balanced fractional derivatives. The book continues with right and mixed fractional differentiation Ostrowski inequalities in the univariate and multivariate cases. Next the right and left, as well as mixed, Landau fractional differentiation inequalities in the univariate and multivariate cases are illustrated. Throughout the book many applications are given. Fractional differentiation inequalities are by themselves an important and great mathematical topic for research. Furthermore they have many applications, the most important ones are in establishing uniqueness of solution in fractional differential equations and systems and in fractional partial differential equations. Also they provide upper bounds to the solutions of the above equations. Fractional Calculus has emerged as very useful over the last forty years due to its many applications in almost all applied sciences. This is currently seen in applications in acoustic wave propagation in inhomogeneous porous material, diffusive transport, fluid flow, dynamical processes in self-similar structures, dynamics of earthquakes, optics, geology, viscoelastic materials, bio-sciences, bioengineering, medicine, economics, probability and statistics, astrophysics, chemical engineering, physics, splines, tomography, fluid mechanics, electromagnetic waves, nonlinear control, signal processing, control of power electronic, converters, chaotic dynamics, polymer science, proteins, polymer physics, electrochemistry, statistical physics, rheology, thermodynamics, neural networks, etc. Almost all fields of research in science and engineering use fractional calculus in order to describe results. This book is a part of Fractional Calculus, therefore it is useful for researchers and graduate students for research, seminars and advanced graduate courses, in pure and applied mathematics, engineering and all other applied sciences.

Advanced Inequalities

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Publisher : World Scientific
ISBN 13 : 9814317624
Total Pages : 423 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Advanced Inequalities by : George A. Anastassiou

Download or read book Advanced Inequalities written by George A. Anastassiou and published by World Scientific. This book was released on 2011 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents univariate and multivariate classical analyses of advanced inequalities. This treatise is a culmination of the author's last thirteen years of research work. The chapters are self-contained and several advanced courses can be taught out of this book. Extensive background and motivations are given in each chapter with a comprehensive list of references given at the end. The topics covered are wide-ranging and diverse. Recent advances on Ostrowski type inequalities, Opial type inequalities, Poincare and Sobolev type inequalities, and HardyOpial type inequalities are examined. Works on ordinary and distributional Taylor formulae with estimates for their remainders and applications as well as ChebyshevGruss, Gruss and Comparison of Means inequalities are studied. The results presented are mostly optimal, that is the inequalities are sharp and attained. Applications in many areas of pure and applied mathematics, such as mathematical analysis, probability, ordinary and partial differential equations, numerical analysis, information theory, etc., are explored in detail, as such this monograph is suitable for researchers and graduate students. It will be a useful teaching material at seminars as well as an invaluable reference source in all science libraries.

Advances in Mathematical Sciences and Applications

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Publisher :
ISBN 13 :
Total Pages : 422 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Advances in Mathematical Sciences and Applications by :

Download or read book Advances in Mathematical Sciences and Applications written by and published by . This book was released on 2003 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Inequalities

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Publisher : CRC Press
ISBN 13 : 1439848971
Total Pages : 391 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Mathematical Inequalities by : Pietro Cerone

Download or read book Mathematical Inequalities written by Pietro Cerone and published by CRC Press. This book was released on 2010-12-01 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Opial Inequalities with Applications in Differential and Difference Equations

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Publisher :
ISBN 13 : 9789401584272
Total Pages : 412 pages
Book Rating : 4.5/5 (842 download)

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Book Synopsis Opial Inequalities with Applications in Differential and Difference Equations by : R. P. Agarwal

Download or read book Opial Inequalities with Applications in Differential and Difference Equations written by R. P. Agarwal and published by . This book was released on 2014-01-15 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Differential and Integral Inequalities

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Author :
Publisher : Springer Nature
ISBN 13 : 3030274071
Total Pages : 848 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Differential and Integral Inequalities by : Dorin Andrica

Download or read book Differential and Integral Inequalities written by Dorin Andrica and published by Springer Nature. This book was released on 2019-11-14 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book. Fundamental and recent developments are presented on the inequalities of Abel, Agarwal, Beckenbach, Bessel, Cauchy–Hadamard, Chebychev, Markov, Euler’s constant, Grothendieck, Hilbert, Hardy, Carleman, Landau–Kolmogorov, Carlson, Bernstein–Mordell, Gronwall, Wirtinger, as well as inequalities of functions with their integrals and derivatives. Each inequality is discussed with proven results, examples and various applications. Graduate students and advanced research scientists in mathematical analysis will find this reference essential to their understanding of differential and integral inequalities. Engineers, economists, and physicists will find the highly applicable inequalities practical and useful to their research.