Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 1975 / Cilt: 24 #74380
On L¹ Convergence Of A Walsh-sum
- Sayfa
- 1–1
- DOI
- —
Abstract
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 .