On a Kind of Birkhoff Type 2-Periodic Trigonometric and Paratrigonometric Interpolation

Jin Guoxiang, Zhang Li, Ding Yong
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Abstract

In this paper, a kind of Birkhoff type 2-Periodic trigonometric and Para trigonometric interpolation problems with equidistant nodes for 2Ĉ -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.
一类Birkhoff型2-周期三角和准三角插值
本文讨论了2ƒà -周期函数和反周期函数的一类具有等距节点的Birkhoff型2-周期三角和准三角插值问题。给出了这些插值问题可解情况的充分必要条件。构造了插值基的表达式。
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