Ulam stability operators / / authors, Janusz Brzdek [and three others] ; series editor, Themistocles M. Rassias

• Autore: Brzdȩk Janusz
• 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