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On the Convergence of Series Summable (C, r) and on the Magnitude of the Derivatives of a Function of a Real Variable

โœ Scribed by Kloosterman, H. D.


Book ID
120100284
Publisher
Oxford University Press
Year
1940
Tongue
English
Weight
145 KB
Volume
s1-15
Category
Article
ISSN
0024-6107

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Let X be a bounded subset of the real line and let Y be a metric space. In the function space C(X, Y ), we give an intrinsic characterization of the functions f for which the neighborhood system in the Hausdorff topology coincides with the neighborhood system in the uniform convergence topology.