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反周期函数的(0,δ^m)插值问题

On the Problem of Trigonometric Interpolation in Antiperiodic (0,δ^m)
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摘要 研究了以π为周期的反周期函数的(0,δm)三角插值,得到了解存在的条件,并给出对应条件下解的显式表达式及其收敛阶. In this paper, the trigonometric (0,δ^m) interpolation of π antiperiodic function was studied, the conditions of the existence of solutions were obtained, and the explicit form and the rate of the convergence were obtained in the corresponding conditions.
出处 《海南大学学报(自然科学版)》 CAS 2007年第1期27-30,34,共5页 Natural Science Journal of Hainan University
关键词 反周期函数 (0 δ^m)三角插值 收敛阶 antiperiodic function trigonometric (0,δ^m) interpolation convergence rate
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参考文献5

  • 1SZABADOS J,VTESI P.Interpolation of functions[M].Singapore:World Scientific Publishing,1990:227-263.
  • 2SHARMA A,SUN X H.A 2-periodic trgonometric interpolation problem[J].Approxi.Theory & Appl,1992,8(4):1-16.
  • 3FRANZ-JURGEN Delvos,LUDGER Knoche.Lacunary interpolation by antiperiodic trigonometric polynomials[J].BIT,1999,39(3):430-450.
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