Optimal and non-optimal rates of approximation for integrated semigroups and cosine functions

DOI10.1006/jath.1996.3085zbMath0886.47022OpenAlexW1975903605MaRDI QIDQ1365559

Jung-Chan Chang, Sen-Yen Shaw

Publication date: 4 September 1997

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

Full work available at URL: https://semanticscholar.org/paper/e37a3261b130db6a47dd4652ea543f7c7aabb20e

zbMATH Keywords

rates of convergencecosine functionssaturation classCesàro and Abel meansgeneral approximation processnon-optimal ratessharpness of non-optimal convergence

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Linear operator approximation theory (47A58) Operator sine and cosine functions and higher-order Cauchy problems (47D09)

Related Items (4)

Integrated semigroups and \(C\)-semigroups and their applications ⋮ Abstract Volterra Integro-Differential Equations: Approximation and Convergence of Resolvent Operator Families ⋮ \((a,k)\)-regularized \(C\)-resolvent families: regularity and local properties ⋮ Convergence rates of regularized approximation processes.

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