Differences, Derivatives, and Decreasing Rearrangements
- 1 January 1967
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 19, 1153-1178
- https://doi.org/10.4153/cjm-1967-105-0
Abstract
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.Keywords
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