A comparison between Euler and Cesàro methods of summability
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- by B. Kuttner and M. R. Parameswaran PDF
- Proc. Amer. Math. Soc. 122 (1994), 787-790 Request permission
Abstract:
It is well known that there are sequences that are summable by every Cesàro method ${C_r}\;(r > 0)$ but are not summable by any Euler method ${E_p}\;(0 < p < 1)$. It is proved here that on the other hand there are sequences that are summable by every Euler method ${E_p}\;(0 < p < 1)$ but are not summable by any Cesaro method.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 122 (1994), 787-790
- MSC: Primary 40D20; Secondary 40G05
- DOI: https://doi.org/10.1090/S0002-9939-1994-1205495-9
- MathSciNet review: 1205495