Sentence examples for decreasing sequence in from inspiring English sources

Let be a strictly decreasing sequence in.

where is a strictly decreasing sequence in and set.

Every bounded decreasing sequence in Y is convergent.

Note that, (i) implies that the sequence is a decreasing sequence in and is regular cone.

where is defined by (3.8) and is a strictly decreasing sequence in.

(A) is weakly quasi-nonexpansive with respect to ; (B) is a monotonically decreasing sequence in.

Suppose ({u_{n}}) is a monotone non-decreasing sequence in X that converges to (uin X).

if { x n } is a non-decreasing sequence in X such that x n → x, then x = sup { x n }.

Let { x n } be a non-decreasing sequence in X with respect to ⪯ such that x n → x.

Suppose { x n } is a non-decreasing sequence in C ( I, R ) that converges to x ∈ C ( I, R ).

if { x n } is a non-decreasing sequence in X such that x n → x ∗ implies x n ⪯ x ∗ ∀ n ∈ N, that is, x ∗ = sup { x n }.