Sentence examples for a gauge function from inspiring English sources

This function φ is called a gauge function.

The following is a sufficient condition for a gauge function of order r.

By a gauge function we mean a continuous strictly increasing function defined on such that and.

where φ is a gauge function of order r ≥ 1 on an interval J.

By a gauge function, we mean a continuous strictly increasing function such that and as.

The duality mapping associated to a gauge function is defined by (21).

In fact, since, and is a gauge function, then for, and (318).

It is known that has a weakly continuous duality mapping with a gauge function for all.

Lemma 2.4 Let φ be a gauge function of order r ≥ 1 on J.

We note that space has a weakly continuous duality mapping with a gauge function for all.

Let E be a Banach space with a weakly sequentially continuous duality mapping J ϕ with a gauge function ϕ.