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Pointwise convergence and summability of the sequence {Sn′(f, x)/n} for a fourier series and a conjugate fourier series

✍ Scribed by A. A. Zakharov


Book ID
112450459
Publisher
SP MAIK Nauka/Interperiodica
Year
1976
Tongue
English
Weight
507 KB
Volume
16
Category
Article
ISSN
0037-4466

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A Structure Theorem for the Absolute RIE
✍ B. D. Malviya 📂 Article 📅 1972 🏛 John Wiley and Sons 🌐 English ⚖ 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