We obtain exponentially accurate Fourier series for nonperiodic functions on the interval [−1, 1] by extending these functions to periodic functions on a larger domain. The series may be evaluated, ...
A mathematical theorem stating that a PERIODIC function f(x) which is reasonably continuous may be expressed as the sum of a series of sine or cosine terms (called the Fourier series), each of which ...
This is a preview. Log in through your library . Abstract In the present paper we generalize Eckhoff's method, i.e., the method for approximating the locations of discontinuities and the associated ...
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