Bodenchuk V. Estimates of widths of classes of (psi, beta)-differentiable functions.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0416U002699

Thesis Registration Form

0416U002699.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

21-06-2016

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

In PhD thesis we established that the Poisson kernels, Neumann kernels and kernels of analytic functions satisfies Kushpel's condition, beginning with some number which only depends on parameters of smoothness of kernels. As a result, for all specified n we obtain exact lower bounds for Kolmogorov widths of classes of convolutions with mentioned kernels. The obtained estimates coincide with the best uniform approximations by trigonometric polynomials. As a result, we calculated exact values for Kolmogorov, Bernstein and linear widths of considered classes of functions.

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Files

aref.pdf

dis.pdf

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