Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-26T16:41:02.861Z Has data issue: false hasContentIssue false
  • English
  • Français

Some theorems on strong regularity of Nörlund methods

Published online by Cambridge University Press:  24 October 2008

B. Kuttner
B. Kuttner
Affiliation:
The University, Birmingham B15 2TT
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Borwien, D. and Cass, F. P.Strong Nörlund Summability. Math. Z. 103 (1968), 94–111.0CrossRefGoogle Scholar
(2)Hardy, G. H.Orders of infinity (Cambridge Mathematical Tracts, No. 12, 1924).Google Scholar
(3)Hardy, G. H.Divergent series (Oxford, 1949).Google 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