Fedorenko O. Approximation of (psi,beta)--differentiable functions by trigonometric polynomials.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0401U000703

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

20-02-2001

Specialized Academic Board

Д26.206.01

Essay

The dissertation devote a questions of approximation (psi,beta)--differentiable functions by trigonometric polynomials with definete choice garmonics. Exact order estimates of the best trigonometrical and orthogonal trigonometrical approximations of classes L^{psi}_{beta,p} in the space L_q are obtained for different parities between p and q. Also, exact order estimate for the trigonometric widths of these classes in the space L_q are obtained, when 1<p<2<q<p/(p-1).

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