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 .
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Research Articles |
Authors | |
Publication Date | January 1, 1975 |
Submission Date | January 1, 1975 |
Published in Issue | Year 1975 Volume: 24 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
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