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  • 标题:Approximation of functions in generalized Zygmund class by double Hausdorff matrix
  • 本地全文:下载
  • 作者:H. K. Nigam ; M. Mursaleen ; Supriya Rani
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2020
  • 卷号:2020
  • 期号:1
  • 页码:1-19
  • DOI:10.1186/s13662-020-02711-z
  • 出版社:Hindawi Publishing Corporation
  • 摘要: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.
  • 关键词:Error estimation; Generalized Zygmund class; Double Hausdorff (Hpq ) summability means; Double Fourier series (DFS)
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