Geodesic
On some properties of functions
Matematičeskoe obrazovanie, Tome 101 (2022) no. 1, pp. 38-47

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
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     title = {On some properties of functions},
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V. V. Volchkov; Vit. V. Volchkov; N. P. Volchkova. On some properties of functions. Matematičeskoe obrazovanie, Tome 101 (2022) no. 1, pp. 38-47. http://geodesic.mathdoc.fr/item/MO_2022_101_1_a4/