Inclusion relations for Riesz typical means

A. Jakimovski, J. Tzimbalario

Research output: Contribution to journalArticlepeer-review


Necessary and sufficient conditions for sequence-to-sequence or sequence-to-function summability method to include (B, A, a), when 1 < α ≤ 2, are given. Also, for suitably restricted sequences A, necessary and sufficient conditions for a series-to-sequence or series-to-function summability method to include (B, A, a) for 1 < α ≤ 2 are given. These results are obtained by showing that a certain sequence {δi} (j ≥ 0) is a Schauder-basis in BXa(N) for each a, 1 < α ≤ 2.

Original languageEnglish
Pages (from-to)417-423
Number of pages7
JournalMathematical Proceedings of the Cambridge Philosophical Society
Issue number3
StatePublished - Nov 1972


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