Let us consider the 2[pi]-periodic
trigonometric polynomial operator (or summability operator)
n] denotes the best approximating
trigonometric polynomial for f.
For instance, Han presented the quadratic [6] and cubic [7]
trigonometric polynomial curves with a shape parameter.
The Get_JN function finds the
trigonometric polynomial of order N for the function f.
The Ij and Wr were ordered by sampling date (t) and gender, and a Fourier
trigonometric polynomial (Rey Pastor et al.
To find expressions for both r(t) and s(t) (and assuming they have a
trigonometric polynomial representation (cf.
which is just the
trigonometric polynomial in Weierstrass's first approximation theorem.
It is known [8] that the
trigonometric polynomial operator (or summability operator)
In the case of f being a
trigonometric polynomial, the resulting Toeplitz matrices are band matrices for n large enough.
n,[OMEGA]f is an [OMEGA]-bandlimited
trigonometric polynomial of period 2[L.
1 we report the maximal and average relative errors of the product Gaussian formula with respect to the reference values of I(w, n) obtained by applying to the
trigonometric polynomial [(cos([theta])+sin([theta])+2).
It has previously been shown that a
trigonometric polynomial having at most M non-vanishing coefficients can be recovered from N = O (M log(D)) random samples by the greedy methods thresholding and orthogonal matching pursuit with high probability.
