Students and teachers of mathematical specialties

On some properties of functions

V. V. Volchkov^a, Vit. V. Volchkov^a, N. P. Volchkova<sup>b

a</sup> Donetsk National University
^b Donetsk National Technical University

Abstract: The article introduces the reader to some important tools of modern mathematics using the example studying a class of functions that have zero integrals over all squares of a fixed size, lying in a given circle. A criterion for the total differential in a strengthened form is given, as well as generalizations of other classical results related to zero integrals are considered. average. End of article.

UDC: 517.51