Name: Survey on Classical Inequalities (en Inglés)
SKU: 58605888
Price: 54.15 USD
Availability: InStock
Author: Rassias, Themistocles

portada Survey on Classical Inequalities (en Inglés)

Survey on Classical Inequalities (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

Rassias, Themistocles

Idioma

Inglés

N° páginas

237

Encuadernación

Tapa Blanda

Dimensiones

23.4x15.6x1.3 cm

Peso

0.35 kg.

ISBN13

9789401058681

Categorías

Análisis funcional y transformaciones
Cálculo diferencial y ecuaciones

Survey on Classical Inequalities (en Inglés)

Rassias, Themistocles (Autor) · Springer · Tapa Blanda

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Reseña del libro "Survey on Classical Inequalities (en Inglés)"

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: 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 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