Savchuk V. The rates of convergence of Taylor series and Faber series on classes of psi-integrals of functions of complex variable

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0499U000344

Thesis Registration Form

0499U000344.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

02-02-1999

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

The remainders of Taylor series and Faber series.To investigate of rate of convergence of Taylor series and Faber series on classes of psi-integrals of analytic functions.The analogue of Lebesque-Landau inequality are proved. The analog of mean value theorem for analytic functions are proved. Estimates of deviations of psi-integrals of functions analytical in domain G from their partial p-Faber sums are obtained.

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