bounded sequence


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bounded sequence

[′bau̇nd·əd ′sē·kwəns]
(mathematics)
A sequence whose members form a bounded set.
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In other words [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is a bounded sequence.
This iteration is known as modified Mann iteration with errors, where {un}e X is a bounded sequence and are error terms and {[a.
n] [less than or equal to] k - n/(1 + L) for some [eta] [member of] (0,k) [for all] n [member of] N and {un} is a bounded sequence in X.
A simple, but important exponentially bounded sequence is the sequence [LAMBDA] with [[delta].
A linear operator T: X [right arrow] Y is called a compact operator if it maps every locally bounded sequence {[x.
k]) is a bounded sequence and hence an analytic sequence.
Both of these authors noted that if bounded sequence is statistically convergent, then it is Cesaro summable.
infinity]] of bounded sequences, and we use suitable replacements for its algebraic tensor powers and the endomorphisms under consideration.
As motivation, one would like to construct bounded sequences, x : [Z.
M] denote the Pringscheims sense of double Orlicz space of gai sequences and Pringscheims sense of double Orlicz space of bounded sequences respecctively.
infinity]] the set of all bounded sequences X = ([X.