Lacunary theorems for Cesàro means
Published online by Cambridge University Press: 24 October 2008
Extract
Suppose that (ni) = (n1, n2,…) and (mi) are infinite sequences of positive integers with ni < mi < ni+1. It is well-known and easily proved that, if a series σak is (C, 1) summable to s and has lacunae (ni, mi) such that ak = 0 (ni < k < mi) with
then where
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 93 , Issue 2 , March 1983 , pp. 231 - 235
- Copyright
- Copyright © Cambridge Philosophical Society 1983
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