Rates of approximation and ergodic limits of regularized operator families

DOI10.1016/S0021-9045(03)00040-6zbMath1032.47024OpenAlexW2015918173MaRDI QIDQ1810593

Carlos Lizama, Humberto E. Prado

Publication date: 9 June 2003

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-9045(03)00040-6

zbMATH Keywords

resolventintegrated semigroupuniform ergodicitystrong ergodicityconvoluted semigroup

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) One-parameter semigroups and linear evolution equations (47D06) Integrated semigroups (47D62)

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Cites Work

• On twice differentiable functions
• A mean ergodic theorem for resolvent operators
• Mean ergodic theorems and linear functional equations
• Non-optimal rates of ergodic limits and approximate solutions
• Convergence rates of ergodic limits and approximate solutions
• On perturbation of \(K\)-regularized resolvent families.
• Linear Volterra equations and integrated solution families
• A complex Tauberian theorem and mean ergodic semigroups
• Rates of approximation and ergodic limits of resolvent families
• Regularized solutions for abstract Volterra equations
• Integrated semigroups and differential operators on \(L^ p\) spaces
• Uniform Convergence of Ergodic Limits and Approximate Solutions
• One-Parameter Semigroups for Linear Evolution Equations
• On approximation and representation of \(k\)-regularized resolvent families
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