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On the Absolute Riesz Summability of a Fourier Series and its Application to the Absolute Convergence of Fourier Series

โœ Scribed by Chandra, P.


Book ID
120097492
Publisher
Oxford University Press
Year
1972
Tongue
English
Weight
153 KB
Volume
s2-4
Category
Article
ISSN
0024-6107

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A Structure Theorem for the Absolute RIE
โœ B. D. Malviya ๐Ÿ“‚ Article ๐Ÿ“… 1972 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 292 KB

of Denton (Texas) (Eingegangen am 4.6. 1971) ## 1. Definitions Let a, be a giveninfinite series and let A, = il (n) be a positive inonotonic function of n tending t o infinity with n. We write The series z c n , i s said to he summable (R, An, r ) , r 2 0, t o sum s, if A > ( w ) / w ' --+ s, as