Churilova M. Kolmogorov type inequalities for fractional derivatives and their applications in approximation theory

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0407U002513

Thesis Registration Form

0407U002513.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

18-05-2007

Specialized Academic Board

К 08.051.06

Essay

Extremal properties of univariate and multivariate functions. To obtain new sharp Kolmogorov type inequalities. Research methods are methods of functional theory, mathematical and functional analysis, approximation theory. New sharp Kolmogorov type inequalities for univariate and multivariate functions are obtained, in particular by means of sharp constants comparison, which was fulfilled in the thesis. Results in approximation theory are obtained. Stechkin problem of the best approximating of unbounded operator by bounded ones is solved on some functional classes. Employment sphere is extremal problems of approximation theory.

Read more

Files

AREF.DOC

Diss.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