2008•Unpublished venueRequires access

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

Jin GuoXiang, Ding Yong

Abstract

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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Key concepts: Trigonometric interpolation, Trigonometric polynomial, Interpolation (computer graphics), Mathematics, Trigonometry, Polynomial interpolation, Equidistant, Trigonometric integral