Vai al contenuto principale della pagina
Autore: |
Brzdȩk Janusz
![]() |
Titolo: |
Ulam stability operators / / authors, Janusz Brzdek [and three others] ; series editor, Themistocles M. Rassias
![]() |
Pubblicazione: | London, England : , : Academic Press, , 2018 |
©2018 | |
Descrizione fisica: | 1 online resource (238 pages) : illustrations |
Disciplina: | 515.75 |
Soggetto topico: | Functional equations |
Persona (resp. second.): | BrzdȩkJanusz |
RassiasThemistocles M. | |
Nota di bibliografia: | Includes bibliographical references at the end of each chapters and index. |
Nota di contenuto: | Machine generated contents note: ; 1. Introduction to Ulam stability theory -- ; 1. Historical background -- ; 2. Stability of additive mapping -- ; 3. Approximate isometries -- ; 4. Other functional equations and inequalities in several variables -- ; 5. Stability of functional equations in a single variable -- ; 6. Iterative stability -- ; 7. Differential and integral equations -- ; 8. Superstability and hyperstability -- ; 9. Composite type equations -- ; 10. Nonstability -- References -- ; 2. Operators in normed spaces -- ; 1. Introduction -- ; 2. Ulam stability with respect to gauges -- ; 3. Closed operators -- ; 4. Some differential operators on bounded intervals -- ; 5. Stability of the linear differential operator with respect to different norms -- ; 6. Some classical operators from the approximation theory -- ; 6.1. Bernstein operators -- ; 6.2. Szasz-Mirakjan operators -- ; 6.3. Other classical operators -- ; 6.4. |
Integral operators -- ; 6.5. Bernstein-Schnabl operators -- References -- ; 3. Ulam stability of differential operators -- ; 1. Introduction -- ; 2. Linear differential equation of the first order -- ; 3. Linear differential equation of a higher order with constant coefficients -- ; 4. First-order linear differential operator -- ; 5. Higher-order linear differential operator -- ; 6. Partial differential equations -- ; 7. Laplace operator -- References -- ; 4. Best constant in Ulam stability -- ; 1. Introduction -- ; 2. Best constant for Cauchy, Jensen, and Quadratic functional equations -- ; 3. Best constant for linear operators -- ; 3.1. Stancu operators -- ; 3.2. Kantorovich operators -- ; 3.3. An extremal property of K(Bn) -- ; 4. Ulam stability of operators with respect to different norms -- References -- ; 5. Ulam stability of operators of polynomial form -- ; 1. Introduction -- ; 2. Auxiliary results -- ; 3. | |
A general stability theorem -- ; 4. Complementary results for the second-order equations -- ; 5. Linear difference equation with constant coefficients -- ; 6. Difference equation with a matrix coefficient -- ; 7. Linear functional equations with constant coefficients -- ; 8. Linear differential equations -- ; 9. Integral equations -- References -- ; 6. Nonstability theory -- ; 1. Preliminary information -- ; 2. Possible definitions of nonstability -- ; 3. Linear difference equation of the first order -- ; 4. Linear difference equation of a higher order -- ; 5. Linear functional equation of the first order -- ; 6. Linear functional equation of a higher order -- References. | |
Titolo autorizzato: | Ulam stability operators ![]() |
ISBN: | 0-12-809830-9 |
0-12-809829-5 | |
Formato: | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910583329803321 |
Lo trovi qui: | Univ. Federico II |
Opac: | Controlla la disponibilità qui |