Jiaxing He
Abstract
The function is summed by means of symmetry. The trigonometric interpolation combination polynomial Cn(f; t, x) is constructed. If the function f(x)∈C2π, then Cn(f; t, x) converge the function f(x) on (-∞, +∞) uniformly, and the convergence order of Cn(f; t, x) is the best if f(x)∈Cj 2π, where 0jt, t is an arbitrary add natural number.
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The function is summed by means of symmetry. The trigonometric interpolation combination polynomial Cn(f; t, x) is constructed. If the function f(x)∈C2π, then Cn(f; t, x) converge the function f(x) on (-∞, +∞) uniformly, and the convergence order of Cn(f; t, x) is the best if f(x)∈Cj 2π, where 0jt, t is an arbitrary add natural number.
Key concepts: Mathematics, Interpolation (computer graphics), Polynomial, Function (biology), Combinatorics, Order (exchange), Polynomial interpolation, Convergence (economics)