Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Some relations between Nörlund
and Abel summability

Author: J. R. Nurcombe
Journal: Proc. Amer. Math. Soc. 125 (1997), 183-187
MSC (1991): Primary 40E05, 40F05, 40G05
MathSciNet review: 1346982
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 40E05, 40F05, 40G05

Retrieve articles in all journals with MSC (1991): 40E05, 40F05, 40G05

Additional Information

J. R. Nurcombe
Affiliation: South Birmingham College, Cole Bank Road, Hall Green, Birmingham B28 8ES, England

Keywords: Summability, strong, N\"orlund, Abel, convergence, sequence
Received by editor(s): March 9, 1995
Received by editor(s) in revised form: July 13, 1995
Communicated by: Theodore Gamelin
Article copyright: © Copyright 1997 American Mathematical Society