Sentence examples for gauge function from inspiring English sources

We have shown that is a Bianchini-Grandolfi gauge function.

This function φ is called a gauge function.

Consider the Bianchini-Grandolfi gauge function φ given by.

A gauge function φ : J → J is said to be a Bianchini-Grandolfi gauge function if ∑ n = 0 ∞ φ n ( t ) < ∞ for all t ∈ J [16].

It is easy to see that every b-Bianchini-Grandolfi gauge function is also a Bianchini-Grandolfi [16] gauge function but the converse may not hold.

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.

Henstock-Kurzweil integral is the generalized Riemann integral method by using the gauge function.

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).