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On the convergence of power scaled Cesáro sums

✍ Scribed by Xuzhou Chen; Robert E. Hartwig

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 1014 KB
Volume: 267
Category: Article
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(97)80056-0

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✦ Synopsis

Power scaling is combined with CesLro summation, and necessary and sufficient local conditions are given for the resulting matrix sequence p,(T) to converge. It is shown that this convergence is closely related to path conditions on the one hand as well as suitable bilinear consistency conditions on the other hand.

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