Geodesic
Absolute Summability Factors in a Sequence
Canadian mathematical bulletin, Tome 27 (1984) no. 1, pp. 16-30

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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.
DOI : 10.4153/CMB-1984-003-7
Mots-clés : 40D15, 40 G 05 
Baron, S. Absolute Summability Factors in a Sequence. Canadian mathematical bulletin, Tome 27 (1984) no. 1, pp. 16-30. doi: 10.4153/CMB-1984-003-7
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     title = {Absolute {Summability} {Factors} in a {Sequence}},
     journal = {Canadian mathematical bulletin},
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     year = {1984},
     volume = {27},
     number = {1},
     doi = {10.4153/CMB-1984-003-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-003-7/}
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