三角多项式族中的Birkhoff型2-周期三角插值

IEEE Pacific-Asia Workshop on Computational Intelligence and Industrial Application Pub Date : 1900-01-01 DOI:10.1109/PACIIA.2008.403

G. Jin, Yong Ding

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Birkhoff Type 2-Periodic Trigonometric Interpolation in the Family of Trigonometric Polynomial

A kind of Birkhoff type 2-periodic trigonometric interpolation problems with equidistant nodes for 2pi periodic functions is discussed in the family of trigonometric polynomial. We find the necessary and sufficient conditions for the solvable case of this interpolation problem. The expressions of the interpolation basis are constructed.

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IEEE Pacific-Asia Workshop on Computational Intelligence and Industrial Application

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