Convergence acceleration of Fourier series revisited - Armenian Journal of Mathematics

Nersessian Anry

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Convergence acceleration of Fourier series revisited - Armenian Journal of Mathematics

机译：再谈傅立叶级数的收敛加速-亚美尼亚数学杂志

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A generalization of the Krylov-Eckho? method is investigated for removing of the classical Gibbs phenomenon. Convergence acceleration scheme for Fourier expansions of piecewise smooth functions is derived. Numerical results are presented and discussed.

机译：Krylov-Eckho的推广？研究了消除经典吉布斯现象的方法。推导了分段光滑函数傅立叶展开的收敛加速方案。提出并讨论了数值结果。

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《Armenian journal of mathematics》 |2011年第4期|共页
作者
Nersessian Anry;
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中图分类数学;
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1. The Convergence Acceleration of Two-Dimensional Fourier Interpolation - Armenian Journal of Mathematics [J] . Nersessian Anry, Poghosyan Arnak Armenian journal of mathematics . 2008,第1期

机译：二维傅里叶插值的收敛加速-亚美尼亚数学杂志
2. Erratum for "Convergence acceleration of quasi-periodic and quasi-periodic-rational interpolations by polynomial corrections" [Armen. J. Math. 5(2) 2013, 123--138] - Armenian Journal of Mathematics [J] . Poghosyan Lusine Armenian journal of mathematics . 2014,第1期

机译：有关“通过多项式校正的准周期和准周期有理插值的收敛加速”的勘误表。 J.数学5（2）2013，123--138]-亚美尼亚数学杂志
3. Convergence acceleration of quasi-periodic and quasi-periodic-rational interpolations by polynomial corrections - Armenian Journal of Mathematics [J] . Poghosyan Lusine Armenian journal of mathematics . 2013,第2期

机译：多项式校正的准周期和准周期有理插值的收敛加速-亚美尼亚数学杂志
4. A Proof, Based on the Euler Sum Acceleration, of the Recovery of an Exponential (Geometric) Rate of Convergence for the Fourier Series of a Function with Gibbs Phenomenon [C] . John, P. Boyd International conference on spectral and high order methods . 2011

机译：基于欧拉总和加速的证据，恢复指数（几何）收敛率的傅立叶级数与Gibbs现象的函数
5. Convergence of Fourier series and representations of Fourier and Fourier-Stieltjes coefficients. [D] . Natsis, Dimitrios. 1991

机译：Fourier级数的收敛性以及Fourier和Fourier-Stieltjes系数的表示。
6. ON ABSOLUTE CONVERGENCE OF FOURIER SERIES [O] . Fu Cheng Hsiang 1956

机译：关于傅里叶级数的绝对收敛
7. Convergence acceleration of modified Fourier series in one or more dimensions [O] . Ben Adcock 2015

机译：改进的傅立叶级数在一个或多个维度上的收敛加速度

Convergence acceleration of Fourier series revisited - Armenian Journal of Mathematics

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