Savchuk V. Extremal problems of approximation of holomorphic functions

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0512U000220

Thesis Registration Form

0512U000220.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

13-03-2012

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

We construct the best linear methods of approximation for functions from the Hardy and Bergman space. The exact values of the n-widths were found. We solve the Kolmogorov- Nikol'skii problem for Teylor's partial sums and for de la Vallee Poussin sums. The summability of p-Faber series are established.

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Files

Aref.pdf

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