Pribegin S. Approximation of functions from H^p classes in the various domains

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0411U004324

Thesis Registration Form

0411U004324.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

17-06-2011

Specialized Academic Board

К 41.051.05

Essay

The class of methods of summation of the power series gives the estimate (of the Jackson type) of approximation of the boundary function with assistance of fractional modulus of smoothness for H^p classes on the polydisk and on the product of half-planes we are given. Two-sided estimates for the approximation of boundary value functions from this classes by the generalized Abel - Poisson and Riesz means were obtained. We found the exact estimate of approximation of function for H^p classes on the circle-ring to the boundary value.

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Files

aref.doc

disser.pdf

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