Sentence examples for class of means from inspiring English sources

We show that this class of means characterizes the large class of homogeneous symmetric monotone means.

The main result of the paper is a characterization result; in fact, we show that our class of means characterizes a large class of means, the class of homogeneous symmetric monotone means.

Moreover, we can construct a whole class of means, which may replace the mean S as the right cancelling mean.

The 'order cancellability' does not hold for general connections, even if we restrict them to the class of means.

Section 2 displays a class of means, the so-called parameterized means that will be needed later.

This class of means widens the spectrum of possible means and leads to many easy and interesting mean-inequalities.

We can see that a wide class of mean zero random variables satisfies (1.2).

Continuing with the case, where there are two class of mean velocities, we try to achieve bit-based fairness by tuning CWmin of either slow or fast vehicles.

As application, we construct some classes of means in one or two parameters including some standard means.

Despite its general interest in mathematical analysis, it remains true that the major interest of introducing new classes of means is the obtention of mean-inequalities.

If f is a differentiable convex function defined on J, then Theorems 2.1 and 2.2 imply that Φ i ( x, y ; p, g, f ) ≥ 0, i = 1, 2. Now, we give mean value theorems for the functionals Φ i, i = 1, 2. These theorems enable us to define various classes of means that can be expressed in terms of linear functionals.