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

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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. Volchkov^a, Vit. V. Volchkov^a, N. P. Volchkova^b

^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}

Linking options:

https://www.mathnet.ru/eng/mo787

https://www.mathnet.ru/eng/mo/y2021/i42/p38

Cycle of papers

On some properties of functions characterized by zero integrals
V. V. Volchkov, Vit. V. Volchkov, N. P. Volchkova
Math. Ed., 2021:4(100)-2, 38–48
On some properties of functions
V. V. Volchkov, Vit. V. Volchkov, N. P. Volchkova
Math. Ed., 2022:1(101), 38–47

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	119
Full-text PDF :	50
References:	22

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