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  • 标题:Trigonometric approximation of functions belonging to Lipschitz class by matrix ( C 1 ⋅ N p ) operator of conjugate series of Fourier series
  • 本地全文:下载
  • 作者:Lakshmi Narayan Mishra ; Vishnu Narayan Mishra ; Vaishali Sonavane
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2013
  • 卷号:2013
  • 期号:1
  • 页码:127
  • DOI:10.1186/1687-1847-2013-127
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In the present paper, a new theorem on the degree of approximation of a function f ˜ , conjugate to a 2π periodic function f belonging to the Lipα ( 0 < α ≤ 1 ) class without the monotonicity condition on the generating sequence { p n } has been established, which in turn generalizes the results of Lal (Appl. Math. Comput. 209: 346-350, 2009) on a Fourier series. MSC:40G05, 41A10, 42B05, 42B08.
  • 关键词:conjugate Fourier series ; Lip α ( 0 < α ≤ 1 ) class ; degree of approximation ; C 1 means ; N p means ; product summability C 1 ⋅ N p transform
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