Absolute Summability Factors in a Sequence

Baron, S.

Canadian mathematical bulletin, Tome 27 (1984) no. 1, pp. 16-30

Résumé

Let α≥0 and β>— 1. The main result gives necessary and sufficient conditions for the sequence (εn) in order that the sequence (εn U n) will be absolutely summable by the Cesàro method Cβ for each sequence (Un ) which is bounded or summable by the method CαAnother theorem is proven when Cα and Cβ are replaced by triangular methods A = (ank) and B=(bnk ) satisfying , where (ξnk) = (ank)-1.

Détail

DOI : 10.4153/CMB-1984-003-7

Mots-clés : 40D15, 40 G 05

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