monotone increasing sequence

monotone increasing sequence

[‚män·ə‚tōn in′krēs·iŋ ‚sē·kwəns]
(mathematics)
A sequence of real numbers in which each term is equal to or greater than the preceding term.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
For x, y [member of] C, 0 [less than or equal to] [delta] < 1, M [greater than or equal to] 0 and since (p : [R.sup.+] [right arrow] [R.sup.+] is a monotone increasing sequence with [phi](0) = 0, then
where [H.sub.n] is a monotone increasing sequence, see [14] for a discussion of this issue, which means that the left-hand side of I.
It is clear that every monotone increasing sequence is {[[lambda].sub.n]} HBVS, but not conversely.
and {[g.sub.l]} is monotone increasing sequence, so
It is clear that {[u.sub.k]} be a strictly monotone increasing sequence. Now we define k [equivalent to]] k(n) - min{m : [u.sub.m] [greater than or equal to] n, m [member of] N}, where N denotes the set of all positive integers.