Approximation of Classes of ψ-bar-Integrals of Periodic Functions of Many Variables by Rectangular Linear Means of Their Fourier Series

V. I. Rukasov; O. A. Novikov; V. I. Bodraya

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Approximation of Classes of ψ-bar-Integrals of Periodic Functions of Many Variables by Rectangular Linear Means of Their Fourier Series

机译：利用变量的傅立叶级数的矩形线性平均逼近多个变量的周期函数的ψ-bar-积分

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摘要

We obtain asymptotic equalities for deviations of rectangular linear means of Fourier series on classes of ψ-bar-integrals of functions of many variables.

机译：我们获得了许多变量函数的ψ-棒积分上的傅里叶级数矩形线性均值偏差的渐近等式。

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《Ukrainian mathematical journal 》 |2005年第4期| 共8页
作者
V. I. Rukasov; O. A. Novikov; V. I. Bodraya;
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正文语种 eng
中图分类数学 ;
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1. Approximation of Classes of ψ-bar-Integrals of Periodic Functions of Many Variables by Rectangular Linear Means of Their Fourier Series [J] . V. I. Rukasov, O. A. Novikov, V. I. Bodraya Ukrainian mathematical journal . 2005 ,第4期

机译：利用变量的傅立叶级数的矩形线性平均逼近多个变量的周期函数的ψ-bar-积分
2. Wavelet approximation and Fourier widths of classes of periodic functions of several variables. II [J] . Bazarkhano D.B. Analysis Mathematica . 2012 ,第4期

机译：几个变量的周期函数类的小波逼近和傅立叶宽度。 II
3. KOLMOGOROV WIDTHS AND BILINEAR APPROXIMATIONS OF THE CLASSES OF PERIODIC FUNCTIONS OF ONE AND MANY VARIABLES [J] . Romanyuk A. S. Ukrainian mathematical journal . 2018 ,第2期

机译：Kolmogorov宽度和双线性近似的一个和许多变量的周期性函数的类
4. On function classes related pertaining to strong approximation of double Fourier series [C] . Zhuldyz Baituyakova International Conference on Advancements in Mathematical Sciences . 2015

机译：关于与双傅里叶系列强近似有关的函数类
5. Nonlinear Haar approximation of some multivariate classes of functions [D] . Andrianov, Alexander Vladimirovich 2000

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6. Pointwise approximation of modified conjugate functions by matrix operators of conjugate Fourier series of ... formula ...-periodic functions [O] . Mateusz Kubiak, Włodzimierz Łenski, Bogdan Szal -1

机译：... ...周期函数的共轭傅里叶级数的矩阵算子对修正的共轭函数的逐点逼近
7. The degree of approximation of functions, and their conjugates, belonging to several general Lipschitz classes, by Hausdorff matrix means of their Fourier series and conjugate series of their Fourier series [O] . B. E. Rhoades 2014

机译：函数的近似程度，以及它们的缀合物，属于几个通用的嘴唇尖级课程，由Hausdorff矩阵手段的傅立叶系列和共轭系列的傅立叶系列

Approximation of Classes of ψ-bar-Integrals of Periodic Functions of Many Variables by Rectangular Linear Means of Their Fourier Series

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