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Contemporary Mathematics. Fundamental Directions, 2007, Volume 25, Pages 182–191 (Mi cmfd115)  
This article is cited in 1 scientific paper (total in 1 paper)

An Equiconvergence Theorem for an Integral Operator with a Variable Upper Limit of Integration

A. P. Khromov

Saratov State University named after N. G. Chernyshevsky
Full-text PDF (139 kB) Citations (1)
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Abstract: We suggest simple sufficient conditions on the kernel of the integral operator
$$ Af=\int\limits_0^{1-x}A(1-x,t)f(t)\,dt $$
providing expansion with respect to the root functions to be equiconvergent with ordinary Fourier series.
English version:
Journal of Mathematical Sciences, 2008, Volume 155, Issue 1, Pages 188–198
DOI: https://doi.org/10.1007/s10958-008-9216-y
Bibliographic databases:
UDC: 513.88
Language: Russian
Citation: A. P. Khromov, “An Equiconvergence Theorem for an Integral Operator with a Variable Upper Limit of Integration”, Theory of functions, CMFD, 25, PFUR, M., 2007, 182–191; Journal of Mathematical Sciences, 155:1 (2008), 188–198
Citation in format AMSBIB
\Bibitem{Khr07}
\by A.~P.~Khromov
\paper An Equiconvergence Theorem for an Integral Operator with a~Variable Upper Limit of Integration
\inbook Theory of functions
\serial CMFD
\yr 2007
\vol 25
\pages 182--191
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd115}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2342547}
\zmath{https://zbmath.org/?q=an:1157.45310}
\elib{https://elibrary.ru/item.asp?id=13584338}
\transl
\jour Journal of Mathematical Sciences
\yr 2008
\vol 155
\issue 1
\pages 188--198
\crossref{https://doi.org/10.1007/s10958-008-9216-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-55749100989}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Современная математика. Фундаментальные направления
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