Approximation of the Singularities of a Bounded Function by the Partial Sums of Its Differentiated Fourier Series
Copyright policy )Approximation of the Singularities of a Bounded Function by the Partial Sums of Its Differentiated Fourier Series
The author presents a pleasant historical survey on the previous results and proves five nice theorems. His summary reads as follows: ``In our earlier work we developed an algorithm for approximating the locations of discontinuities and the magnitudes of jumps of a bounded function by means of its truncated Fourier series. The algorithm is based on some asymptotic expansion formulas. In the present paper we give proofs for those formulas''.
- Weber State University United States
approximation of singularities, Applied Mathematics, Harmonic analysis in one variable, approximation of singularities., Fourier series, Numerical approximation and computational geometry (primarily algorithms)
approximation of singularities, Applied Mathematics, Harmonic analysis in one variable, approximation of singularities., Fourier series, Numerical approximation and computational geometry (primarily algorithms)
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