# convergent sequence

## convergent sequence

[kən′vər·jənt ′sē·kwəns]
(mathematics)
A sequence which has a limit.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Then the sequence [mathematical expression not reproducible] is called a convergent sequence in the NSNLS ([??](K), N, *, *).
Since [mathematical expression not reproducible] are subsequences of the convergent sequence {d([T.sup.n][x.sub.0], [T.sup.n+1][x.sub.0])}, they have the same limit.
Using Example 1.5 it is easy to construct a Wijsman statistically convergent sequence which is not f-Wijsman statistically convergent with f (x)= log(1 + x).
Secondly, each convergent sequence [mathematical expression not reproducible] converges to the same point [x.sup.*].
(i) [([x.sub.k]).sub.k[greater than or equal to]1] is a statistically convergent sequence;
ADM moreover gives a convergent sequence of estimations for some terms of high accuracy.
Recently, Zararsiz and [section]engoniil  introduced null, bounded, and convergent sequence space of modals.
(1) Any convergent sequence {[x.sub.k]} for k [member of] [N.sub.0] constructed from the composed operators
We remark that in general a convergent sequence in a 2-metric space need not be Cauchy (see , [12, page 4]).
An N x N matrix T = ([t.sub.n].sub.k]) is a regular summability matrix if, for any convergent sequence x with limit [xi], [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], and T is nonnegative if [t.sub.nk] [greater than or equal to] 0 for all n and k.
Bounded and convergent sequence spaces of Fuzzy numbers were introduced by Matloka.

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