Survey on Classical Inequalities:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
2000
|
| Schriftenreihe: | Mathematics and Its Applications
517 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (VII, 237 p) |
| ISBN: | 9789401143394 9789401058681 |
| DOI: | 10.1007/978-94-011-4339-4 |
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Datensatz im Suchindex
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| spelling | Rassias, Themistocles M. Verfasser aut Survey on Classical Inequalities by Themistocles M. Rassias Dordrecht Springer Netherlands 2000 1 Online-Ressource (VII, 237 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 517 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 Mathematics Functional equations Functional analysis Functions of complex variables Differential equations, partial Difference and Functional Equations Approximations and Expansions Functional Analysis Functions of a Complex Variable Partial Differential Equations Mathematik Ungleichung (DE-588)4139098-2 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Ungleichung (DE-588)4139098-2 s 2\p DE-604 https://doi.org/10.1007/978-94-011-4339-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Rassias, Themistocles M. Survey on Classical Inequalities Mathematics Functional equations Functional analysis Functions of complex variables Differential equations, partial Difference and Functional Equations Approximations and Expansions Functional Analysis Functions of a Complex Variable Partial Differential Equations Mathematik Ungleichung (DE-588)4139098-2 gnd |
| subject_GND | (DE-588)4139098-2 (DE-588)4143413-4 |
| title | Survey on Classical Inequalities |
| title_auth | Survey on Classical Inequalities |
| title_exact_search | Survey on Classical Inequalities |
| title_full | Survey on Classical Inequalities by Themistocles M. Rassias |
| title_fullStr | Survey on Classical Inequalities by Themistocles M. Rassias |
| title_full_unstemmed | Survey on Classical Inequalities by Themistocles M. Rassias |
| title_short | Survey on Classical Inequalities |
| title_sort | survey on classical inequalities |
| topic | Mathematics Functional equations Functional analysis Functions of complex variables Differential equations, partial Difference and Functional Equations Approximations and Expansions Functional Analysis Functions of a Complex Variable Partial Differential Equations Mathematik Ungleichung (DE-588)4139098-2 gnd |
| topic_facet | Mathematics Functional equations Functional analysis Functions of complex variables Differential equations, partial Difference and Functional Equations Approximations and Expansions Functional Analysis Functions of a Complex Variable Partial Differential Equations Mathematik Ungleichung Aufsatzsammlung |
| url | https://doi.org/10.1007/978-94-011-4339-4 |
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