Sentence examples for be a nonnegative sequence from inspiring English sources

Let (u:= u_{n})) be a nonnegative sequence.

Let ({X(n)}_{nge-r}) be a nonnegative sequence satisfying (2.1) and (2.2).

Let be a nonnegative sequence which satisfies the following inequality (1.11).

Let φ ∈ Φ and { r n } n ∈ N be a nonnegative sequence with lim n → ∞ r n = a.

Let (varphiinTheta) and ({s_{n}}_{ninmathbb{N}}) be a nonnegative sequence with (s_{n}to a) as (ntoinfty).

Let { ρ n } n = 0 ∞ be a nonnegative sequence which satisfies the following inequality: ρ n + 1 ≤ ( 1 − λ n ) ρ n + σ n, n ≥ 0, (1.4).

where is a nonnegative sequence.

where is a nonnegative sequence with.

Suppose that is a nonnegative sequence and is a positive sequence such that.

A weighted mean matrix, denoted by, is a lower triangular matrix with entries, where is a nonnegative sequence with, and.

A weighted mean matrix, written is a lower triangular matrix with entries where is a nonnegative sequence with and as.