Sentence examples for the classes of functions from inspiring English sources

Define the classes of functions and, respectively, as follows: (2.4).

However, those definitions required very strong restrictions on the classes of functions that can be integrated.

In the paper, we consider the classes of functions which generalize these subclasses of functions.

The following two concepts are introduced in order to describe the classes of functions that are integrable.

Demonstrating the coincidence of the classes of functions computed by the models \(\mathfrak{M}_1\) and \(\mathfrak{M}_2\) thus often yields additional information about their relative efficiencies.

Many important questions in the study of the classes of functions are related to bounds on the modulus of functions (growth) or the modulus of the derivative (distortion).

We prove superstability of the functional equation in the class of functions.

Let denote the class of functions of the form.

Let be the class of functions of the form (1.1).

Let denote the class of functions of the form (1.1).

Now, let denote the class of functions satisfying the following.