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Note on the continuity of lacunary structure in Taylor's interpolation series

Published online by Cambridge University Press:  24 October 2008

G. A. Read
G. A. Read
Affiliation:
Woolwich Polytechnic, London
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Extract

In this note we shall consider the series

where lim sup |an| = 1 and

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 61 , Issue 1 , January 1965 , pp. 109 - 112
Copyright
Copyright © Cambridge Philosophical Society 1965

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References

REFERENCES

(1)Bourion, G.Recherches sur l'ultraconvergence. Ann. Sci. École Norm. Sup. (3) 50 (1933), 245–318.Google Scholar
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(3)Martin, Y.L'ultraconvergence dans les séries d'interpolation on de facultés. Bull. Sci. Math. (2) 75 (1951), 80–91.Google Scholar
(4)Martin, Y.Sur quelques séries d'interpolation et de facultés. Bull. Sci. Math. (2) 75 (1951), 21–32.Google Scholar