2000•Journal of Jilin University of TechnologyRequires access

Combinational Triangle Interpolation Polynomial

Xuenan Sun

Abstract

In this paper, the function is summed by means of symmetry. The trigomometric interpolation combination polynomial Sn. (f; r, x ) is constructed. If the function f(x)∈, C2π, then Sn (f; r, x ) converge the function f(x) uniformly on (-∞, + ∞ ), and the convergence order is the best if f(x )∈ Cj2π, where 0≤j≤ r, r is an arbitrary odd natural number.

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Key concepts: Interpolation (computer graphics), Function (biology), Polynomial, Mathematics, Convergence (economics), Order (exchange), Polynomial interpolation, Combinatorics