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Survey on Classical Inequalities, Themistocles RASSIAS


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Автор: Themistocles RASSIAS
Название:  Survey on Classical Inequalities
ISBN: 9789401058681
Издательство: Springer
Классификация:



ISBN-10: 9401058687
Обложка/Формат: Paperback
Страницы: 237
Вес: 0.35 кг.
Дата издания: 28.10.2012
Серия: Mathematics and Its Applications
Язык: English
Размер: 234 x 156 x 13
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Survey on Classical Inequalities provides a study of some of the well known inequalities in classical mathematical analysis. Subjects dealt with include: Hardy-Littlewood-type inequalities, Hardys and Carlemans inequalities, Lyapunov inequalities, Shannons and related inequalities, generalized Shannon functional inequality, operator inequalities associated with Jensens inequality, weighted Lp -norm inequalities in convolutions, inequalities for polynomial zeros as well as applications in a number of problems of pure and applied mathematics. It is my pleasure to express my appreciation to the distinguished mathematicians who contributed to this volume. Finally, we wish to acknowledge the superb assistance provided by the staff of Kluwer Academic Publishers. June 2000 Themistocles M. Rassias Vll LYAPUNOV INEQUALITIES AND THEIR APPLICATIONS RICHARD C. BROWN Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350, USA. email address: dicbrown@bama.ua.edu DON B. HINTON Department of Mathematics, University of Tennessee, Knoxville, TN 37996, USA. email address: hinton@novell.math.utk.edu Abstract. For nearly 50 years Lyapunov inequalities have been an important tool in the study of differential equations. In this survey, building on an excellent 1991 historical survey by Cheng, we sketch some new developments in the theory of Lyapunov inequalities and present some recent disconjugacy results relating to second and higher order differential equations as well as Hamiltonian systems. 1. Introduction Lyapunovs inequality has proved useful in the study of spectral properties of ordinary differential equations. Typical applications include bounds for eigenvalues, stability criteria for periodic differential equations, and estimates for intervals of disconjugacy


Survey on Classical Inequalities

Автор: Themistocles RASSIAS
Название: Survey on Classical Inequalities
ISBN: 079236483X ISBN-13(EAN): 9780792364832
Издательство: Springer
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Цена: 13275.00 р.
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Описание: This volume provides a study of some of the well-known inequalities in classical mathematical analysis. Subjects dealt with include: Hardy-Littlewood-type inequalities, Hardy`s and Carleman`s inequalities, Lyapunov inequalities, and generalized Shannon functional inequality.

Classical and New Inequalities in Analysis

Автор: Dragoslav S. Mitrinovic; J. Pecaric; A.M Fink
Название: Classical and New Inequalities in Analysis
ISBN: 9048142253 ISBN-13(EAN): 9789048142255
Издательство: Springer
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Цена: 84971.00 р.
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Описание: One service mathematic;., has Jcndcml the 'Et moi, .. si j'avait su comment CD revcnir, human race. It has put COIDDlOJI SCIISC back je n'y scrais point allC.' whc: rc it belongs, on the topmost shell next Jules Verne to the dusty canister labc1lcd 'dilcardcd nOD- The series is divergent; tbcre(on: we may be sense'. Eric T. Bcll able to do something with it o. Hcavisidc Mathematics is a tool for thought. A highly necessary tooll in a world where both feedbaclt and non- linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other paJts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com- puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Classical and New Inequalities in Analysis

Автор: Dragoslav S. Mitrinovic; J. Pecaric; A.M Fink
Название: Classical and New Inequalities in Analysis
ISBN: 0792320646 ISBN-13(EAN): 9780792320647
Издательство: Springer
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Цена: 83852.00 р.
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Описание: Presents a comprehensive compendium of classical and new inequalities as well as some recent extensions to well-known ones. The 30 chapters are all devoted to inequalities associated with a given classical inequality, or give methods for the derivation of new inequalities.

Solution of Variational Inequalities in Mechanics

Автор: Ivan Hlavacek; Jaroslav Haslinger; Jindrich Necas;
Название: Solution of Variational Inequalities in Mechanics
ISBN: 0387965971 ISBN-13(EAN): 9780387965970
Издательство: Springer
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Цена: 14365.00 р.
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Описание: Deals with approximation and numerical realization of variational inequalities of elliptic type, having applications in mechanics of solids. This book places emphasis on the study of contact problems of elastic bodies and problems of plasticity.

Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities

Автор: Bashir Ahmad; Ahmed Alsaedi; Sotiris K. Ntouyas; J
Название: Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities
ISBN: 3319521403 ISBN-13(EAN): 9783319521404
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This book focuses on the recent development of fractional differential equations, integro-differential equations, and inclusions and inequalities involving the Hadamard derivative and integral.

Intelligent Comparisons II: Operator Inequalities and Approximations

Автор: George A. Anastassiou
Название: Intelligent Comparisons II: Operator Inequalities and Approximations
ISBN: 3319514741 ISBN-13(EAN): 9783319514741
Издательство: Springer
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Цена: 18167.00 р.
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Описание: This compact book focuses on self-adjoint operators` well-known named inequalities and Korovkin approximation theory, both in a Hilbert space environment. As such, the book offers a valuable resource for researchers and graduate students alike, as well as a key addition to all science and engineering libraries.

Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities

Автор: Dumitru Motreanu; Panagiotis D. Panagiotopoulos
Название: Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities
ISBN: 1461368200 ISBN-13(EAN): 9781461368205
Издательство: Springer
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Цена: 20962.00 р.
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