On L¹ Convergence Of A Walsh-sum

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:24
On L¹ Convergence Of A Walsh-sum

On L¹ Convergence Of A Walsh-sum

Authors : Babu RAM

Pages : 0-0

Doi:10.1501/Commua1_0000000261

View : 13 | Download : 8

Publication Date : 1975-01-01

Article Type : Research Paper

Abstract :It is shown tlıat limit of the Walsh sumgninsert ignore into journalissuearticles values(x); S Xnk insert ignore into journalissuearticles values(x);, 0 < x < l„ exists k—o and is integrable if and only if lim Xon < 00. Then gn converges in L l norm to g t n—>00 and for 0 < p < 1, Hm J ] ginsert ignore into journalissuearticles values(x); - gn insert ignore into journalissuearticles values(x); |p dx = 0 .
Keywords : Convergence, Walsh sum, Rademacher

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