On L¹ Convergence Of A Walsh-sum
On L¹ Convergence Of A Walsh-sum
It is shown tlıat limit of the Walsh sumgn(x) S Xnk (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 ] g(x) - gn (x) |p dx = 0 .
Keywords:
Convergence, Walsh-sum Rademacher,
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- Communications, Series A1:Mathematics and Statistics
- ISSN: 1303-5991
- Yayın Aralığı: Yılda 4 Sayı
- Başlangıç: 1948
- Yayıncı: Ankara Üniversitesi