Ergodic theorems and approximation theorems with rates

DOI10.11650/TWJM/1500407254zbMATH Open0971.47005OpenAlexW4235221436MaRDI QIDQ1590388

Sen-Yen Shaw

Publication date: 18 October 2001

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/twjm/1500407254

zbMATH Keywords

Dunford-Pettis propertyGrothendieck spaceVolterra equationoptimal convergenceergodic theorems with ratesstrong ergodic theorems\(A\)-ergodic net\(A\)-regularized approximation process\(r\)-times integrated solution familysharpness theoremsuniform ergodic theorems

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Ergodic theory of linear operators (47A35) Linear operator approximation theory (47A58) Rate of convergence, degree of approximation (41A25) Operator sine and cosine functions and higher-order Cauchy problems (47D09) Integrated semigroups (47D62)

Related Items (4)

Spectral measures and rates of convergence in the ergodic theorem ⋮ POINTWISE ERGODIC THEOREMS WITH RATE WITH APPLICATIONS TO LIMIT THEOREMS FOR STATIONARY PROCESSES ⋮ Korovkin tests, approximation, and ergodic theory ⋮ Extensions of the Menchoff-Rademacher theorem with applications to ergodic theory

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