convergent sequence

[kən′vər·jənt ′sē·kwəns]

(mathematics)

A sequence which has a limit.

Mentioned in ?

References in periodicals archive ?

Then the sequence [mathematical expression not reproducible] is called a convergent sequence in the NSNLS ([??](K), N, *, *).

Neutrosophic Soft Normed Linear Spaces

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.

Nemytzki-Edelstein-Meir-Keeler Type Results in b-Metric Spaces

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).

Density by moduli and Wijsman statistical convergence

Secondly, each convergent sequence [mathematical expression not reproducible] converges to the same point [x.sup.*].

A Nonmonotone Projection Method for Constrained System of Nonlinear Equations

(i) [([x.sub.k]).sub.k[greater than or equal to]1] is a statistically convergent sequence;

Statistical convergence and some questions of operator theory

ADM moreover gives a convergent sequence of estimations for some terms of high accuracy.

ADOMIAN DECOMPOSITION METHOD WITH NEUMANN BOUNDARY CONDITIONS FOR SOLUTION OF NONLINEAR BOUNDARY VALUE PROBLEM

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

(1) Any convergent sequence {[x.sub.k]} for k [member of] [N.sub.0] constructed from the composed operators

Fixed points of closed and compact composite sequences of operators and projectors in a class of Banach spaces

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

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.

The theory of convergence and the set of statistical cluster points

Bounded and convergent sequence spaces of Fuzzy numbers were introduced by Matloka[2].

Monotone distances and fuzzy sequence spaces

Encyclopedia browser ?

Full browser ?

CITE

Site: Follow: Share:

Open / Close