Differences, Derivatives, and Decreasing Rearrangements
1967 ◽
Vol 19
◽
pp. 1153-1178
◽
Keyword(s):
The decreasing rearrangement of a finite sequence a1, a2, … , an of real numbers is a second sequence aπ(1), aπ(2), … , aπ(n), where π(l), π(2), … , π(n) is a permutation of 1, 2, … , n and(1, p. 260). The kth term of the rearranged sequence will be denoted by . Thus the terms of the rearranged sequence correspond to and are equal to those of the given sequence ak, but are arranged in descending (non-increasing) order.
1986 ◽
Vol 102
(3-4)
◽
pp. 277-289
◽
Keyword(s):
1969 ◽
Vol 6
(03)
◽
pp. 478-492
◽
1955 ◽
Vol 7
◽
pp. 337-346
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1984 ◽
Vol 96
(1)
◽
pp. 1-7
◽
1905 ◽
Vol 40
(3)
◽
pp. 615-629
Keyword(s):
1966 ◽
Vol 62
(4)
◽
pp. 637-642
◽
Keyword(s):
1962 ◽
Vol 14
◽
pp. 597-601
◽
1969 ◽
Vol 21
◽
pp. 1309-1318
◽
1980 ◽
Vol 32
(5)
◽
pp. 1045-1057
◽