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Mathematical Education, 2021, Issue 4(100)-2, Pages 38–48 (Mi mo787)  
Students and teachers of mathematical specialties

On some properties of functions characterized by zero integrals

V. V. Volchkova, Vit. V. Volchkova, N. P. Volchkovab

a Donetsk National University
b Donetsk National Technical University
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Abstract: The article introduces the reader to 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.
Document Type: Popular science or education materials
UDC: 517.51
Language: Russian
Citation: V. V. Volchkov, Vit. V. Volchkov, N. P. Volchkova, “On some properties of functions characterized by zero integrals”, Math. Ed., 2021, no. 4(100)-2, 38–48
Citation in format AMSBIB
\Bibitem{VolVolVol21}
\by V.~V.~Volchkov, Vit.~V.~Volchkov, N.~P.~Volchkova
\paper On some properties of functions characterized by zero integrals
\jour Math. Ed.
\yr 2021
\issue 4(100)-2
\pages 38--48
\mathnet{http://mi.mathnet.ru/mo787}
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  • https://www.mathnet.ru/eng/mo/y2021/i42/p38
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