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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2000, Volume 7, Number 3, Pages 321–330 (Mi jmag380)  
Singular values of Fredholm integral operators and p-k-variation

B. D. Kotlyara, Yu. B. Olevskayab

a National Mining University, Dnipropetrovs'k
b Ukrainian Institute of Municipal Management and Business, Dnepropetrovsk
Full-text PDF (270 kB)
Abstract: There have been find upper bound of the singular values of Fredholm integral operator velocity of decrease which depends from continuous modul and p-k-variation of cernel of operator, and permutation in nondecreasing order modul of Fourier and Fourier–Walsh coefficients of function.
Received: 16.11.1998
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: B. D. Kotlyar, Yu. B. Olevskaya, “Singular values of Fredholm integral operators and p-k-variation”, Mat. Fiz. Anal. Geom., 7:3 (2000), 321–330
Citation in format AMSBIB
\Bibitem{KotOle00}
\by B.~D.~Kotlyar, Yu.~B.~Olevskaya
\paper Singular values of Fredholm integral operators and p-k-variation
\jour Mat. Fiz. Anal. Geom.
\yr 2000
\vol 7
\issue 3
\pages 321--330
\mathnet{http://mi.mathnet.ru/jmag380}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1797006}
\zmath{https://zbmath.org/?q=an:1015.47032}
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