Some theorems on strong regularity of Nörlund methods
Published online by Cambridge University Press: 24 October 2008
Extract
1. Given a series
we will throughout write {sn} for the sequence of its partial sums; that is to say,
We will write p, q to denote the sequences {pn}, {qn}; we will write throughout
and will take P−1 = p−1 = 0.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 76 , Issue 1 , July 1974 , pp. 195 - 209
- Copyright
- Copyright © Cambridge Philosophical Society 1974
References
REFERENCES
(1)Borwien, D. and Cass, F. P.Strong Nörlund Summability. Math. Z. 103 (1968), 94–111.0CrossRefGoogle Scholar
(4)Hyslop, J. M.Note on the strong summability of series. Proc. Glasgow Math. Assoc. 1 (1952), 16–20.CrossRefGoogle Scholar
(5)Kuttner, B. and Sahney, B. N.On the absolute matrix summability of Fourier series. Pacific J. Math. 43 (1972), 407–419.CrossRefGoogle Scholar
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