convergent sequence

convergent sequence

[kən′vər·jənt ′sē·kwəns]
(mathematics)
A sequence which has a limit.
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References in periodicals archive ?
k[greater than or equal to]1] is a sequence for which there is a convergent sequence [([y.
Statistical convergence and some questions of operator theory
A matrix transformation is said to be regular if it maps every convergent sequence into a convergent sequence with the same limit.
Korovkin type approximation theorem for functions of two variables via statistical summability (C, 1)/O teorema do tipo aproximacao de Korovkin para funcoes de duas variabilidades pela sumabilidade estatistica
Recently, Zararsiz and [section]engoniil [5] introduced null, bounded, and convergent sequence space of modals.
Hahn 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]).
Suzuki contraction theorem on a 2-metric space
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.
The theory of convergence and the set of statistical cluster points
and s [greater than or equal to] 1 returns a convergent sequence ofiterates {[x.
Convergence issues in the theory and practice of iterative aggregation/disaggregation methods
Bounded and convergent sequence spaces of Fuzzy numbers were introduced by Matloka[2].
Monotone distances and fuzzy sequence spaces
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.
Calculus and Analytical Mechanics in the Age of Enlightenment
n] [subset or equal to] X is an f--statistically convergent sequence then it has a convergent subsequence.
f-statistical convergence, completeness and f-cluster points
Note that a convergent sequence is ([sigma],[lambda])--convergent but converse need not hold.
Matrix transformations of paranormed sequence spaces through de la Vallee-Pousin mean/Transformacoes matriciais de espacos sequenciais paranormatizados pela media de la Vallee-Pousin
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.
Matrix transformations and statistical convergence II
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.
Factorable generalized Hausdorff matrices

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