Sokolenko I. Approximathion of psi-integrals of functions given on the real line

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0405U002643

Thesis Registration Form

0405U002643.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

31-05-2005

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

We find symptotic formulas of deviations of the Fourier operators on the classes C^psi_infty and C^psi H_omega of continuous functions in a uniform metric. We also find estimates of deviations of the Fourier operators on the sets of Poisson integrals of functions of the spaces L_p. We obtain asymptotic laws of decreasing of functionals which characterize the problem of simultaneous approximation of psi-integrals of continuous functions of classes S_infty and H_omega by the Fourier operators in the uniform metric.

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Files

Aref.doc

Dis.pdf

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