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JOURNALS // Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry] // Archive

Mat. Fiz. Anal. Geom., 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

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



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