Sentence examples for absolutely uniformly from inspiring English sources

Obviously, the functions (a_{qr}(t)) given by a_{qr}(t)=frac{sqrt{t}}{(1+q^{2})(r+1)^{2}} are continuous, and the series sum_{r=q}^{infty}biglvert a_{qr}(t bigrvert ^{p} is absolutely uniformly continuous on I. Since a_{q}(t):=sum_{r=q}^{infty}biglvert a_{qr}(t bigrvert ^{p} is uniformly bounded on I, for any (tin I) and (qinmathbb{N}_{0}), we consider B=sup bigl{ a_{q}(t) bigr} < infty.

Series (1.6) converges absolutely and uniformly on compact subsets of ℂ, and uniformly on ℝ, cf. [4].

converges absolutely and uniformly in λ on bounded sets.

Series (1.1) converges absolutely and uniformly on ℝ, cf. [1 4].

Therefore, the series (3.19) and (3.20) are absolutely and uniformly convergent in Ω̅.

where the series converges absolutely and uniformly with respect to x ∈ [ 0, T ].

The series ((S_wf)(t)) converges absolutely and uniformly on (mathbb {R}).

Consequently, the series (3.3) is absolutely and uniformly convergent in ([0,p]).

Consequently, the series (3.24) and (3.25) are absolutely and uniformly convergent in Ω̅.

Consequently, the series in (3.2) is absolutely and uniformly convergent in Ω̅.

In this paper, we assume the following infinite series converges absolutely and uniformly in (Omega^).