Zhyhallo T. Approximations of the locally summable functions on the axis by the linear methods

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0408U004164

Thesis Registration Form

0408U004164.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

30-10-2008

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

We solved the problem of Kolmogoroff-Nikolsky for upper bounds of approximation by Abel-Poisson's operators on the classes of differentiable functions given on the real axis. The same problem is solved for the approximation by Poisson's biharmonic operators. We found asymptotic equalities for upper bounds of deviations of Poisson-Chebyshev's biharmonic integrals from the functions that are given on a segment from Lipschitz's class.

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Files

Disser.pdf

aref.doc

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