### Abstract

Let f(x) be a function of bounded variation on [-1,1] and S _{n}(f;x) the nth partial sum of the expansion of f(x) in a Chebyshev series of the second kind. In this note we give the estimate for the rate of convergence of the sequence S_{n}(f;x) to f(x) in terms of the modulus of continuity of the total variation of f(x).

Original language | English |
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Pages (from-to) | 1-7 |

Number of pages | 7 |

Journal | Missouri Journal of Mathematical Sciences |

Volume | 14 |

Issue number | 1 |

Publication status | Published - 2002 |

### ASJC Scopus subject areas

- Mathematics(all)

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## Cite this

Al-Khaled, K. (2002). On the rate of convergence for the Chebyshev series.

*Missouri Journal of Mathematical Sciences*,*14*(1), 1-7.