Sentence examples for a sequence of functions from inspiring English sources

Consider two types of translation-invariant functionals I and J on Rm, and a sequence of functions fn whose corresponding symmetric rearrangements f∗n are convergent.

As events occur, the app reacts by calling a sequence of functions.

The first success for Lebesgue's theory was that, unlike the Cauchy-Riemann integral, it obeyed the rule that if a sequence of functions fn(x) tends suitably to a function f(x), then the sequence of integrals ∫fn(x dx tends to the integral ∫f(x dx.

By using the Green's function of an auxiliary problem and a fixed point theorem, we construct a sequence of functions that converges to the unique solution of the problem.

Let {fm; m∈N} be a sequence of functions from [0, ∞) to a Banach space E. We give a new and essential condition on fm, which is weaker than the usual "local Lipschitz continuity" condition, ensuring that the convergence of fm is equivalent to the convergence of their Laplace transforms.

Let 〈 f n ( x ) 〉 be a sequence of functions which belongs to L 2 α.

Let ({x_{n}}_{n=1}^{infty}) be a sequence of functions from ([a,b]) to X.

The Picard method is based on a sequence of functions which converge to the desired solution.

Firstly, we technically consider a sequence of functions, which can be calculated recursively by (2.2).

Let { f n } n = 1 ∞ be a sequence of functions in L 1 ( [ 0, b ], R + ).

Now, let us define { v η } as a sequence of functions of the type (3.9).