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On the sharpness of non-optimal approximation for semigroup operators

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Abstract

The sharpness of the rate of approximation by certain operators to the identity is considered in the sense that there exist smooth elements such that a rate (given by a direct theorem) cannot be improved. The operators dealt with are semigroup operators, the Cesàro means of these, as well as the associated resolvent operators.

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References

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Authors and Affiliations

  1. Lehrstuhl A für Mathematik, RWTH Aachen, D-5100, Aachen

    P. L. Butzer & W. Dickmeis

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  1. P. L. Butzer
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  2. W. Dickmeis
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Dedicated to Professor H. G. Tillmann on the occasion of his 60th birthday on Sept. 30, 1984, in friendship and admiration

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Butzer, P.L., Dickmeis, W. On the sharpness of non-optimal approximation for semigroup operators. Manuscripta Math 51, 243–251 (1985). https://doi.org/10.1007/BF01168355

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