Popov P. Coconvex and sign-preserving approximation of periodic functions

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0404U002187

Thesis Registration Form

0404U002187.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

18-05-2004

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

The object is periodic functions; the aim to obtaine direct theorems in coconvex and sign-preserving approximations and to construct counterexamples for these approximations; the methods are classic and modern methods of approximation theory; the novelty is the following: it has been obtained the first estimates for coconvex and sign-preserving approximations of periodic functions; results: it has been obtained Jackson type estimates for these approximations and constructed some counterexamples; the field is the shape-preserving approximation of periodic functions by trigonometric polynomials.

Read more

Files

aref.doc

diser.pdf

Similar theses

0821U101801

Petrova Iryna Leonidivna

"Interpolatory estimates for comonotone approximation

0421U102744

Volkov Sergiy V

To the theory of boundary behavior of mappings on Riemann surfaces

0421U102723

Petkov Ihor Vasylovich

The boundary behavior of solutions and the Dirichlet problem for the Beltrami equations

0421U102684

Holubchak Oleh Mykhailovych

Operators on Hilbert spaces of symmetric analytic functions on a Banach space with a symmetric structure.

0521U101474

Kaliuzhnyi-Verbovetskyi Dmytro S.

Foundations of the theory of free noncommutative functions and some it is applications in algebra and analysis