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一类反周期函数插值算子的收敛性 被引量:1

Convergence of Anti-periodic Interpolation Operator
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摘要 利用差分代替导数研究三角插值问题的基础上,讨论了奇数个等距结点上一类反周期函数的2-周期插值算子的逼近问题,得到了插值解的收敛性结论,是对相应的反周期函数三角插值问题的推广. Based on difference replacing derivative to study trigonometric interpolation, a kind of 2-periodic interpolation of anti-periodic function is considered in this paper, some results are established on approximation of responding interpolation problem, which is a generalization of trigonometric interpolation of anti-periodic function.
出处 《渭南师范学院学报》 2011年第2期33-35,共3页 Journal of Weinan Normal University
基金 国家自然科学基金资助项目(61063020) 宁夏自然科学基金资助项目(NZ0907)
关键词 反周期 插值 收敛 anti-periodic interpolation convergence
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  • 1孙燮华.A 2-PERIODIC TRIGONOMETRIC INTERPOLATION PROBLEM[J].Analysis in Theory and Applications,1992,8(4):1-16. 被引量:3
  • 2马欣荣,侯象乾.奇数个等距结点上的2-周期〔0,p〔δ/2h〕〕三角插值[J].河南师范大学学报(自然科学版),2006,34(4):171-174. 被引量:2
  • 3孙永生.函数逼近论[M].北京:北京师范大学出版社,1989
  • 4Franz-jurgen Delvos,Ludger Knoche. Lacunary interpolation by antiperiodic trigonometric polynomials[ J]. BIT, 1999,39 (3) :439-450.
  • 5Sun Xiehua. A generalization of (0, m) interpolation [ J ]. J of Math Res & Expo, 1999,19 ( 1 ) :9-17.
  • 6Liu Yongping. On the trigonometric interpolation and the entire interpolation [ J ]. Approx Theory and Its Appl, 1990,6 (4) : 85-106.
  • 7Delvos F J, Knoche L. Lacunary interpolation by antiperiodic trigonometric polynomials[J]. BIT, 1999,39(3): 439.
  • 8Szabados J, Vertesi P. Interpolation of functions[M].London:World Scientific Publishing Co Pte Ltd,1990.227-264.
  • 9Cavaretta A S, Sharma A, Varga R S. Lacunary trigonometric interpolation on equidistant nodes, in ''quantitative approximation '' [M]. New York:Academic Press, 1980.63-88.
  • 10Sharma A, Szabados J, Varga R S. Some 2-periodic trigonometric inperpolation problem on equidistant nodes[J]. Analysis, 1991,11:171.

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