| ASYMPTOTIC BEHAVIOR OF ECKHOFF＇S METHOD FOR FOURIER SERIES CONVERGENCE ACCELERATION |
| |
| 作者姓名： | A. Barkhudaryan R. Barkhudaryan A. Poghosyan |
| |
| 作者单位： | National Academy of Sciences of Armenia, Institute of Mathematics, Yerevan |
| |
| 摘 要： | The current paper considers the problem of recovering a function using a limited number of its Fourier coefficients. Specifically, a method based on Bernoulli-like polynomials suggested and developed by Krylov, Lanczos, Gottlieb and Eckhoff is examined. Asymptotic behavior of approximate calculation of the so-called ＂jumps＂ is studied and asymptotic L2 constants of the rate of convergence of the method are computed.
|
| 关 键 词： | 傅立叶级数 收敛加速度 Bemoulli多项式 渐进线 |
| 收稿时间： | 10 February 2007 |
| 修稿时间： | 2007-02-10 |
Asymptotic behavior of Eckhoff’s method for Fourier series convergence acceleration |
| |
| A. Barkhudaryan R. Barkhudaryan A. Poghosyan.Asymptotic behavior of Eckhoff’s method for Fourier series convergence acceleration[J].Analysis in Theory and Applications,2007,23(3):228-242. |
| |
| Authors: | A Barkhudaryan R Barkhudaryan A Poghosyan |
| |
| Institution: | (1) National Academy of Sciences of Armenia, Institute of Mathematics, Yerevan, Russia |
| |
| Abstract: | The current paper considers the problem of recovering a function using a limited number of its Fourier coefficients. Specifically, a method based on Bernoulli-like polynomials suggested and developed by Krylov, Lanczos, Gottlieb and Eckhoff is examined.Asymptotic behavior of approximate calculation of the so-called "jumps" is studied and asymptotic L2 constants of the rate of convergence of the method are computed. |
| |
| Keywords: | Fourier series convergence acceleration Bernoulli polynomials BEHAVIOR ASYMPTOTIC ACCELERATION CONVERGENCE FOURIER SERIES the rate of convergence computed jumps Asymptotic behavior approximate calculation method based polynomials current paper problem function limited number |
| 本文献已被 维普 万方数据 SpringerLink 等数据库收录！ |
