Rates of approximation and ergodic limits of resolvent families

DOI10.1007/BF01207833zbMath0859.47027MaRDI QIDQ1924912

Jung-Chan Chang, Sen-Yen Shaw

Publication date: 22 November 1996

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

rates of convergencecosine operator functionsresolvent family\(C_ 0\)-semigroupssaturation classesergodic limitsnon-optimal ratesnon-optimal convergence

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Operator sine and cosine functions and higher-order Cauchy problems (47D09)

Related Items (7)

Optimal and non-optimal rates of approximation for integrated semigroups and cosine functions ⋮ A representation formula for strongly continuous resolvent families ⋮ Regularized solutions for abstract Volterra equations ⋮ Perturbation theory of abstract cauchy problems and volterra equations ⋮ Rates of approximation and ergodic limits of regularized operator families ⋮ Non-optimal rates of ergodic limits and approximate solutions ⋮ Convergence rates of regularized approximation processes.

Cites Work

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• A mean ergodic theorem for resolvent operators
• On the correctness of the problem of inverting the finite Hilbert transform in certain aeroelastic models
• Mean ergodic theorems and linear functional equations
• On the sharpness of non-optimal approximation for semigroup operators
• Some condensation theorems for semigroup operators
• Convergence rates of ergodic limits and approximate solutions
• On Volterra Equations Associated with a Linear Operator

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