convergent sequence

convergent sequence

[kən′vər·jənt ′sē·kwəns]
(mathematics)
A sequence which has a limit.
References in periodicals archive ?
k[greater than or equal to]1] is a sequence for which there is a convergent sequence [([y.
Recently, Zararsiz and [section]engoniil [5] introduced null, bounded, and convergent sequence space of modals.
We remark that in general a convergent sequence in a 2-metric space need not be Cauchy (see [9], [12, page 4]).
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.
and s [greater than or equal to] 1 returns a convergent sequence ofiterates {[x.
Bounded and convergent sequence spaces of Fuzzy numbers were introduced by Matloka[2].
Cauchy (1789-1857) gave a beautiful way of defining real numbers in terms of rational numbers, but he used a defective notion of limit that led him to believe that the limit of a convergent sequence of continuous functions was necessarily continuous.
n] [subset or equal to] X is an f--statistically convergent sequence then it has a convergent subsequence.
It is to be noted (see [10]) that every convergent sequence is statistically convergent with the same limit so that statistical convergence is a natural generalization of the usual convergence of sequences.
An infinite matrix A is said to be conservative if it maps every convergent sequence into a convergent sequence, not necessarily with the same limit.

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