Some relations between Nörlund and Abel summability

Nurcombe, J.

doi:10.1090/S0002-9939-97-03552-1

Some relations between Nörlund and Abel summability
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by J. R. Nurcombe PDF

Proc. Amer. Math. Soc. 125 (1997), 183-187 Request permission

Abstract:

The definition of generalised Abel summability is extended to positive orders and a definition of strong generalised Abel summability is introduced. A result of Jurkat and Peyerimhoff concerning the implication between Nörlund and generalised Abel summabilities is extended to positive integral order. Analogous results for the corresponding strong methods are also given.

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