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The remainder in a gap Tauberian theorem for Abel summability
Published online by Cambridge University Press: 24 October 2008
Extract
Using Pitt's Tauberian classes and a theorem of Pitt (3), Krishnan(2) has recently obtained a gap Tauberian theorem for (Aα) summability. We recall briefly the notation introduced in (2). Let
and assume that the series a(t) and A(t) converge for all t > 0.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 81 , Issue 1 , January 1977 , pp. 43 - 45
- Copyright
- Copyright © Cambridge Philosophical Society 1977