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Blending Approximations with Sine Functions
1992We consider sine double series expansions of functions defined on the unit square. We derive error estimates for partial sums and for interpolating sine polynomials assuming that the asymptotic growth of the series coefficients is known. The constants in the error estimates are explicitly computed.
G. Baszenski, F.-J. Delvos, S. Jester
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Sequences characterizing the sine function
Mathematical Proceedings of the Cambridge Philosophical Society, 1981Recently J. Roe(1) established the striking characterization of the sine and cosine functions given in Theorem 1 (below). His proof was an ingenious application of Fourier transforms of generalized functions.
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The Remarkable Sine Functions.
The American Mathematical Monthly, 1969P. E. Bedient, A. I. Markushevich
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Accurate sine-function synthesis
IEE Journal on Electronic Circuits and Systems, 1978openaire +1 more source