Rovenska O. Approximation of periodic functions of hight smoothness by linear means of Fourier series

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0410U004036

Thesis Registration Form

0410U004036.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

18-06-2010

Specialized Academic Board

К 76.051.02

Essay

Work is devoted to investigating the problems of approximation by linear methods of summation of Fourier series of classes of periodic differentiable functions of hight smoothness. In certain cases asymptotic equalities are found for upper bounds of deviations of the repeated de la Vallee Poussin sums on the classes of Poisson integrals of real variable. In addition, the problems of approximation of m-dimensional analogs of this classes by the right-angled Fourier and de la Vallee Poussin sums are discovered.

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dis.pdf

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