Search academic texts

Information × 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 Close