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一类Birkhoff型2-周期三角和仿三角插值(英文)

On a Kind of Birkhoff Type 2-periodic Trigonometric and Paratrigonometric Interpolation
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摘要 本文讨论了2π周期和反周期函数在等距结点上的一类Birkhoff型2-周期三角和仿三角插值问题,给出了此问题有解的充要条件,并构造出插值基。 In this paper,a kind of Birkhoff type 2-periodic trigonometric and paratrigonometric interpolation problems with equidistant nodes for 2π-periodic and antiperiodic functions are discussed.We give the necessary and sufficient conditions for the solvable case of these interpolation problems.The expressions of the interpolation basis are constructed.
出处 《数学理论与应用》 2010年第4期29-32,共4页 Mathematical Theory and Applications
基金 Project supported by the Key Project Scientific Research Foundation from the Education Department of Hubei Province of China(Grant No.D20101506)
关键词 仿三角多项式 Birkhoff型三角插值 Birkhoff型仿三角插值 反2π周期函数 2-周期 Paratrigonometric polynomial Birkhoff type trigonometric interpolation Birkhoff type paratrigonometric interpolation 2π-antiperiodic functions 2-periodic
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参考文献6

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