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1 results

  • Absolute Summability Factors in a Sequence

  • S. Baron
  • Journal:
    Canadian Mathematical Bulletin / Volume 27 / Issue 1 / 01 March 1984
    Published online by Cambridge University Press:
    20 November 2018, pp. 16-30
    Print publication:
    01 March 1984
    • Article
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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 (εnUn) will be absolutely summable by the Cesàro method Cβ for each sequence (Un) which is bounded or summable by the method Cα

    Another theorem is proven when Cα and Cβ are replaced by triangular methods A = (ank) and B=(bnk) satisfying , where (ξnk) = (ank)-1.