Inequalities And Applications PDF Download
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| Author | : D.D. Bainov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 254 |
| Release | : 2013-04-18 |
| Genre | : Mathematics |
| ISBN | : 9401580340 |
Download Integral Inequalities and Applications Book in PDF, ePub and Kindle
This volume is devoted to integral inequalities of the Gronwall-Bellman-Bihari type. Following a systematic exposition of linear and nonlinear inequalities, attention is paid to analogues including integro-differential inequalities, functional differential inequalities, and discrete and abstract analogues. Applications to the investigation of the properties of solutions of various classes of equations such as uniqueness, stability, dichotomy, asymptotic equivalence and behaviour is also discussed. The book comprises three chapters. Chapter I and II consider classical linear and nonlinear integral inequalities. Chapter III is devoted to various classes of integral inequalities of Gronwall type, and their analogues, which find applications in the theory of integro-differential equations, partial differential equations, differential equations with deviating argument, impube differential equations, etc. Each chapter concludes with a section illustrating the manner of application. The book also contains an extensive bibliography. For researchers whose work involves the theory and application of integral inequalities in mathematics, engineering and physics.
| Author | : Catherine Bandle |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 330 |
| Release | : 2008-12-17 |
| Genre | : Mathematics |
| ISBN | : 3764387734 |
Download Inequalities and Applications Book in PDF, ePub and Kindle
Inequalities continue to play an essential role in mathematics. Perhaps, they form the last field comprehended and used by mathematicians in all areas of the discipline. Since the seminal work Inequalities (1934) by Hardy, Littlewood and Pólya, mathematicians have laboured to extend and sharpen their classical inequalities. New inequalities are discovered every year, some for their intrinsic interest whilst others flow from results obtained in various branches of mathematics. The study of inequalities reflects the many and various aspects of mathematics. On one hand, there is the systematic search for the basic principles and the study of inequalities for their own sake. On the other hand, the subject is the source of ingenious ideas and methods that give rise to seemingly elementary but nevertheless serious and challenging problems. There are numerous applications in a wide variety of fields, from mathematical physics to biology and economics. This volume contains the contributions of the participants of the Conference on Inequalities and Applications held in Noszvaj (Hungary) in September 2007. It is conceived in the spirit of the preceding volumes of the General Inequalities meetings held in Oberwolfach from 1976 to 1995 in the sense that it not only contains the latest results presented by the participants, but it is also a useful reference book for both lecturers and research workers. The contributions reflect the ramification of general inequalities into many areas of mathematics and also present a synthesis of results in both theory and practice.
| Author | : Themistocles RASSIAS |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 221 |
| Release | : 2013-03-09 |
| Genre | : Mathematics |
| ISBN | : 940170225X |
Download Functional Equations, Inequalities and Applications Book in PDF, ePub and Kindle
Functional Equations, Inequalities and Applications provides an extensive study of several important equations and inequalities, useful in a number of problems in mathematical analysis. Subjects dealt with include the generalized Cauchy functional equation, the Ulam stability theory in the geometry of partial differential equations, stability of a quadratic functional equation in Banach modules, functional equations and mean value theorems, isometric mappings, functional inequalities of iterative type, related to a Cauchy functional equation, the median principle for inequalities and applications, Hadamard and Dragomir-Agarwal inequalities, the Euler formulae and convex functions and approximate algebra homomorphisms. Also included are applications to some problems of pure and applied mathematics. This book will be of particular interest to mathematicians and graduate students whose work involves functional equations, inequalities and applications.
| Author | : Dorin Andrica |
| Publisher | : Springer Nature |
| Total Pages | : 848 |
| Release | : 2019-11-14 |
| Genre | : Mathematics |
| ISBN | : 3030274071 |
Download Differential and Integral Inequalities Book in PDF, ePub and Kindle
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.
| Author | : Palaniappan Kannappan |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 817 |
| Release | : 2009-06-10 |
| Genre | : Mathematics |
| ISBN | : 0387894926 |
Download Functional Equations and Inequalities with Applications Book in PDF, ePub and Kindle
Functional Equations and Inequalities with Applications presents a comprehensive, nearly encyclopedic, study of the classical topic of functional equations. This self-contained monograph explores all aspects of functional equations and their applications to related topics, such as differential equations, integral equations, the Laplace transformation, the calculus of finite differences, and many other basic tools in analysis. Each chapter examines a particular family of equations and gives an in-depth study of its applications as well as examples and exercises to support the material.
| Author | : Evariste Giné |
| Publisher | : Birkhäuser |
| Total Pages | : 362 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3034880693 |
Download Stochastic Inequalities and Applications Book in PDF, ePub and Kindle
Concentration inequalities, which express the fact that certain complicated random variables are almost constant, have proven of utmost importance in many areas of probability and statistics. This volume contains refined versions of these inequalities, and their relationship to many applications particularly in stochastic analysis. The broad range and the high quality of the contributions make this book highly attractive for graduates, postgraduates and researchers in the above areas.
| Author | : Praveen Agarwal |
| Publisher | : Springer |
| Total Pages | : 349 |
| Release | : 2018-12-31 |
| Genre | : Mathematics |
| ISBN | : 9811330131 |
Download Advances in Mathematical Inequalities and Applications Book in PDF, ePub and Kindle
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.
| Author | : R. P. Agarwal |
| Publisher | : |
| Total Pages | : 412 |
| Release | : 2014-01-15 |
| Genre | : |
| ISBN | : 9789401584272 |
Download Opial Inequalities with Applications in Differential and Difference Equations Book in PDF, ePub and Kindle
| Author | : Ravi P. Agarwal |
| Publisher | : CRC Press |
| Total Pages | : 1010 |
| Release | : 2000-01-27 |
| Genre | : Mathematics |
| ISBN | : 9781420027020 |
Download Difference Equations and Inequalities Book in PDF, ePub and Kindle
A study of difference equations and inequalities. This second edition offers real-world examples and uses of difference equations in probability theory, queuing and statistical problems, stochastic time series, combinatorial analysis, number theory, geometry, electrical networks, quanta in radiation, genetics, economics, psychology, sociology, and
| Author | : Michael Todinov |
| Publisher | : CRC Press |
| Total Pages | : 154 |
| Release | : 2021-10-13 |
| Genre | : Technology & Engineering |
| ISBN | : 100046895X |
Download Interpretation of Algebraic Inequalities Book in PDF, ePub and Kindle
This book introduces a new method based on algebraic inequalities for optimising engineering systems and processes, with applications in mechanical engineering, materials science, electrical engineering, reliability engineering, risk management and operational research. This book shows that the application potential of algebraic inequalities in engineering and technology is far-reaching and certainly not restricted to specifying design constraints. Algebraic inequalities can handle deep uncertainty associated with design variables and control parameters. With the method presented in this book, powerful new knowledge about systems and processes can be generated through meaningful interpretation of algebraic inequalities. This book demonstrates how the generated knowledge can be put into practice through covering the algebraic inequalities suitable for interpretation in different contexts and describing how to apply this knowledge to enhance system and process performance. Depending on the specific interpretation, knowledge, applicable to different systems from different application domains, can be generated from the same algebraic inequality. Furthermore, an important class of algebraic inequalities has been introduced that can be used for optimising systems and processes in any area of science and technology provided that the variables and the separate terms of the inequalities are additive quantities. With the presented various examples and solutions, this book will be of interest to engineers, students and researchers in the field of optimisation, engineering design, reliability engineering, risk management and operational research.
