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Approximation of functions in generalized Zygmund class by double Hausdorff matrix
Advances in Difference Equations ( IF 3.1 ) Pub Date : 2020-06-29 , DOI: 10.1186/s13662-020-02711-z
H. K. Nigam , M. Mursaleen , Supriya Rani

In the present work, we emphasize, for the first time, the error estimation of a two-variable function \(g(y,z)\) in the generalized Zygmund class \(Y_{r}^{(\xi )}\) (\(r\geq 1\)) using the double Hausdorff matrix means of its double Fourier series. In fact, in this work, we establish two theorems on error estimation of a two-variable function of g in the generalized Zygmund class.



中文翻译:

双Hausdorff矩阵逼近广义Zygmund类中的函数。

在本工作中,我们首次强调广义Zygmund类\(Y_ {r} ^ {(\ xi)}中二元函数\(g(y,z)\)的误差估计\)\(r \ geq 1 \))使用其双重傅里叶级数的双重Hausdorff矩阵表示。实际上,在这项工作中,我们建立了广义Zygmund类中g的两个变量函数的误差估计的两个定理。

更新日期:2020-06-29
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