Bodnar R. Rational approximation of analytical in the unit disc functions

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0403U002012

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

22-05-2003

Specialized Academic Board

К 35.051.07

Essay

The dissertation is devoted to the research of the convergence rate of partial sums of the Dirichlet series absolutely convergent in the semi-plane with positive coefficients in some increasing scales as well as at the subsequence of indexes. The rational approximation of the analytical in the disc {z: |z|<1} functions with nonnegative Taylor coefficients was established in the dissertation too.

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