Lyenkhorova I. Harmonic approximation on compacts in R3

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0401U002159

Thesis Registration Form

0401U002159.pdf

Applicant for

Lyenkhorova Inna Oleksandrivna

Specialization

01.01.01 - Математичний аналіз

Date of defense

20-06-2001

Specialized Academic Board

К 11.193.02

Essay

Uniform approximation of harmonic functions by harmonic polynomials on compacts in 3-dimention space with the connected comlement in case if it satisfies John condition or has a property of zero touch cone. Various methods of theory of approximation are used. The upper estimations of the rate of such way of approximation, wich depends on heometric properties of the compact are obtained.

Thesis supervisor

Андрієвський В,В,

Official opponents

Шевчук І,О,

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