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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2008, Volume 8, Issue 4, Pages 8–13
DOI: https://doi.org/10.18500/1816-9791-2008-8-4-8-13 (Mi isu126) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Mathematics

The theorem on equiconvergence for the integral operator on simplest graph with cycle

M. Sh. Burlutskaya

Voronezh State University, Chair of Mathematical Analysis
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DOI: https://doi.org/10.18500/1816-9791-2008-8-4-8-13
Abstract: The paper deals with integral operators on the simplest geometric two-edge graph containing the cycle. The class of integral operators with range of values satisfying continuity condition into internal node of graph is described. The equiconvergence of expansions in eigen- and adjoint functions and trigonometric Fourier series is established.
Key words: integral operator, geometric graph, involution, the expansions in eigen and associated functions, equiconvergence.
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
Citation: M. Sh. Burlutskaya, “The theorem on equiconvergence for the integral operator on simplest graph with cycle”, Izv. Saratov Univ. Math. Mech. Inform., 8:4 (2008), 8–13
Citation in format AMSBIB
\Bibitem{Bur08}
\by M.~Sh.~Burlutskaya
\paper The theorem on equiconvergence for the integral operator on simplest graph with cycle
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2008
\vol 8
\issue 4
\pages 8--13
\mathnet{http://mi.mathnet.ru/isu126}
\crossref{https://doi.org/10.18500/1816-9791-2008-8-4-8-13}
\elib{https://elibrary.ru/item.asp?id=11674320}
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    • This publication is cited in the following 3 articles:
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