On Mercer's theorem for (C,2)-means |
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Authors: | Prof P Szüsz |
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Institution: | (1) State University of New York, 11790 Stony Brook, NY, USA |
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Abstract: | A direct proof is given for the following theorem, contained as a special case in a more general result ofPolniakowski:Theorem. Denote
n
the Cesaro-means of order 2 of the sequenceS
1, S2, ... , any real number satisfying 0<<=1. Then
implies
To Prof. Th. Schneider on the occasion of his 65th birthday |
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Keywords: | |
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