On Properties and the Application of Levin-type Sequence Transformations for the Convergence Acceleration of Fourier Series

URN to cite this document:: urn:nbn:de:bvb:355-epub-331930
DOI to cite this document:: 10.5283/epub.33193

Homeier, Herbert H. H.

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Date of publication of this fulltext: 15 Jan 2016 15:05

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Abstract

We discuss Levin-type sequence transformations fsng ! fs0 ng that depend linearly on the sequence elements sn, and nonlinearly on an auxiliary sequence of remainder estimates f!ng. If the remainder estimates also depend on the sequence elements, non-linear transformations are obtained. The application of such transformations very often yields new sequences that are more rapidly convergent in the ...