Search academic texts

Registration Number

0211U001357, 0108U000625 , R & D reports

Title

The convergence of Fourier-Jacobi series in the spaces of integrable functions

popup.stage_title

Head

Motornyi Vitalii Pavlovich,

Registration Date

31-01-2011

Organization

Dniepropetrovsk national university

popup.description2

The convergence of Fourier-Jacobi series is object of investigation. The aim of this work is proof the asymptotic exact estimates for the generalized Lebesque constants of partial sums Fourier-Jacobi series. This allowed to prove that partial sums Fourier-Jacobi series provide the best order approximation in the average for functions with sufficiently good differential-difference properties. Methods of functional analysis and theory of approximation has been used. These results is theoretical and that they will utilize in furthest research and in educational process.

Product Description

popup.authors

Великін Валерій Лазаревич
Гончаров Сергій Валерійович
Швердюк Валентина Григорієвна

popup.nrat_date

2020-04-02