Pidvysotska A. Analitycal methods of the solutions of extremal problems about the Chebyshev and Zolotarev polynomials and Bessel functions

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0408U004278

Thesis Registration Form

0408U004278.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

30-09-2008

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

The thesis contains the proof of Markov-Boyanov hypothesis for second derivative for all polynomials form the set of the algebraic polynomials of degree not higher then n, whose first derivative has all its zeros on [-1,1], with the excaption of at most one. It has been compared the valurs of integral functional depending on the Chebyshev polynomials with different degrees abd on the Zolotarev polynomial and Chebyshev one of arbitrary degree n.

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Files

Aref.pdf

Disertacia.pdf

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