Convergence for moving averages
1990 ◽
Vol 10
(1)
◽
pp. 43-62
◽
Keyword(s):
AbstractAssume T is an ergodic measure preserving point transformation from a probability space onto itself. Let be a sequence of pairs of positive integers, and define the sequence of averaging operators . Necessary and sufficient conditions are given forthis sequence of averages to converge almost everywhere. Weighted versions are also considered.
1987 ◽
Vol 7
(2)
◽
pp. 203-210
◽
2021 ◽
Vol 14
(2)
◽
pp. 380-395
2001 ◽
Vol 25
(6)
◽
pp. 417-420
1980 ◽
Vol 21
(3)
◽
pp. 321-328