Stasyuk S. Best trigonometric approximations of classes of periodic functions of several variables

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0403U001212

Thesis Registration Form

0403U001212.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

25-03-2003

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

The thesis is dedicated to the problems of approximation of classes $B^{/Omega}_{p,/theta}$ periodic functions of several variables by trigonometric polynomials in the space L_q. We obtain order estimates of the best orthogonal trigonometric approximations and of the best trigonometric approximations and trigonometric and Kolmogorov widths $B^{/Omega}_{p,/theta}$.

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