Survey on Classical Inequalities

Name: Survey on Classical Inequalities
Brand: Springer
SKU: 9780792364832
Price: 59.25 EUR
Availability: InStock

Автор: Themistocles Rassias

Език:

Корици: С твърди корици

Издател: Springer

Наличност: Външен склад в ограничено количество

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59.25 € 115.87 лв

Survey on Classical Inequalities provides a study of some of the well known inequalities in classica...

Информация за книгата

Автор

Themistocles Rassias

Език

Английски език

Корици

Книга - С твърди корици

Издадена

2000

страници

237

EAN

9780792364832

ISBN

079236483X

Enbook ID

05250789

Издател

Springer

Теглоt

580

Размери

155 x 235 x 20

Пълно 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, Hardy's and Carleman's inequalities, Lyapunov inequalities, Shannon's and related inequalities, generalized Shannon functional inequality, operator inequalities associated with Jensen's 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:[email protected] DON B. HINTON Department of Mathematics, University of Tennessee, Knoxville, TN 37996, USA. email address: [email protected] 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 Lyapunov's 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.

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