Non-optimal rates of ergodic limits and approximate solutions

DOI10.1006/jath.1998.3186zbMath0914.47010OpenAlexW2037692461MaRDI QIDQ1270279

Sen-Yen Shaw

Publication date: 21 October 1998

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

Full work available at URL: https://doi.org/10.1006/jath.1998.3186

zbMATH Keywords

approximate solutions\(K\)-functionals\(\alpha\)-times integrated semigroupstensor product semigroups\(n\)-times integrated cosine functionsmean ergodic theorems

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Ergodic theory of linear operators (47A35) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items (3)

Convergence theorems and Tauberian theorems for functions and sequences in Banach spaces and Banach lattices ⋮ Stability properties for solution operators ⋮ Rates of approximation and ergodic limits of regularized operator families

Cites Work

• Mean ergodic theorems and linear functional equations
• Vector-valued Laplace transforms and Cauchy problems
• On the equations \(Ax=q\) and \(SX-XT=Q\)
• Some condensation theorems for semigroup operators
• Convergence rates of ergodic limits and approximate solutions
• On integrated semigroups which are not exponentially bounded
• Resonance principles with applications to mean ergodic theorems and projection operators
• The mean ergodic theorem for cosine operator functions with optimal and non-optimal rates
• Rates of approximation and ergodic limits of resolvent families
• Solvability of linear functional equations in Lebesgue spaces
• Interpolationsmethoden zur Behandlung von Approximationsprozessen auf Banachräumen
• Ordinary differential equations in linear topological spaces. I
• Uniform Convergence of Ergodic Limits and Approximate Solutions
• Laplace Transforms and α-Times Integrated Semigroups
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