scientific article; zbMATH DE number 829805

zbMath0843.47004MaRDI QIDQ4859405

A. Gessinger, Paul L. Butzer

Publication date: 18 August 1996

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zbMATH Keywords

projection operatorsaturation theoremsnon-optimal approximationCesàro and Abel limitsapplications to the solutions of the heat and wave equationsrate of convergence of semigroup operators to the identity

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Ergodic theory of linear operators (47A35) Wave equation (35L05) Linear operator approximation theory (47A58) Approximation by operators (in particular, by integral operators) (41A35) Operator sine and cosine functions and higher-order Cauchy problems (47D09) Saturation in approximation theory (41A40)

Related Items (12)

Exterior Dirichlet and Neumann problems and the linked ergodic inverse problems in the entire space ⋮ Optimal and non-optimal rates of approximation for integrated semigroups and cosine functions ⋮ A direct approach to the Mellin transform ⋮ Bernstein functions and rates in mean ergodic theorems for operator semigroups ⋮ A retrospective on research visits of Paul Butzer's Aachen research group to Eastern Europe and Tenerife ⋮ On approximation processes defined by a cosine operator function ⋮ Convergence theorems and Tauberian theorems for functions and sequences in Banach spaces and Banach lattices ⋮ Non-optimal rates of ergodic limits and approximate solutions ⋮ A generalized version of the Abelian mean ergodic theorem with rates for semigroup operators and fractional powers of infinitesimal generators ⋮ On Rogosinski-type approximation processes in Banach space using the framework of the cosine operator function ⋮ On a cosine operator function framework of approximation processes in Banach space ⋮ Convergence rates of regularized approximation processes.

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