Rates of approximation and ergodic limits of resolvent families
type: Item
instance of: scholarly article
title: Rates of approximation and ergodic limits of resolvent families
zbMATH Open document ID: 0859.47027
DOI: 10.1007/BF01207833
author: Jung-Chan Chang
author: Sen-Yen Shaw
published in: Archiv der Mathematik
publication date: 1996-11-22T00:00:00Z
review text: For a resolvent family this paper formulates theorems concerning rates of convergence to the identity and of ergodic limits, including theorems about saturation classes, non-optimal rates, and sharpness of non-optimal convergence. Then, as applications, some known and new results on \(C_0\)-semigroups and cosine operator functions are deduced.
reviewed by: Sen-Yen Shaw
Mathematics Subject Classification ID: 47D06
Mathematics Subject Classification ID: 47D09
zbMATH DE Number: 938542
zbMATH Keywords: resolvent family
zbMATH Keywords: rates of convergence
zbMATH Keywords: ergodic limits
zbMATH Keywords: saturation classes
zbMATH Keywords: non-optimal rates
zbMATH Keywords: non-optimal convergence
zbMATH Keywords: \(C_ 0\)-semigroups
zbMATH Keywords: cosine operator functions
MaRDI profile type: Publication
cites work: Q5549343
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description: scientific article; zbMATH DE number 938542