Cesàro and general Euler-Borel summability

Tam, Laying

doi:10.1090/S0002-9939-1992-1087470-9

Cesàro and general Euler-Borel summability
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by Laying Tam

Proc. Amer. Math. Soc. 115 (1992), 747-755

DOI: https://doi.org/10.1090/S0002-9939-1992-1087470-9

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Abstract:

The general Euler-Borel summability method is a method that includes the Euler, discrete Borel, Meyer-König, Taylor, and Karamata methods as special cases. We prove that under a certain condition the Cesàro summability of a sequence implies its summability by a general Euler-Borel method.

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The general Euler-Borel summability method