Grabova U. Estimates of deviation of linear means of Fourier series on the classes of (psi,beta)-differentiabe functions

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0415U000964

Thesis Registration Form

0415U000964.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

07-04-2015

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

We established exact-order estimates for best uniform approximations and approximations by Fourier sums of classes С^psi_beta,p and L^psi_beta,1 in metrics of spaces С and L_q, respectively. Also we established order estimates for approximations by Zigmund on classes С^psi_beta,p and L^psi_beta,1 in metrics of spaces С and L_q, respectively. We solved Kolmogorov-Nikolsky problem for threeharmonic Poisson integrals on the classes of (psi,beta)-differentiabe functions in uniform metric.

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Files

Aref.pdf

Dis.pdf

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