Fourier expansion


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Fourier expansion

[‚fu̇r·ē‚ā ik′span·chən]
(mathematics)
References in periodicals archive ?
Consider a stationary process X = {X([theta]) : [theta] [member of] [0, 2[pi])} with Fourier expansion
In Section 5 the obtained results are used for increasing the order of approximation of Fourier expansions and Zygmund means of Fourier expansions in certain Banach spaces.
SOME REMARKS ON INCREASING THE ORDER OF APPROXIMATION OF FOURIER EXPANSIONS BY REGULAR NONTRIANGULAR MATRIX METHODS
However, in all above-mentioned results the order of approximation of Fourier expansions by M-means was not higher than the corresponding order of approximation by Zygmund means.
Multipliers for (C; a)-bounded Fourier expansions in Banach spaces and approximation theory.
The following result, part of which is proved in step (iii) of the above theorem, is the analogous result for the classical Fourier expansion theorem in [L.
2] (- defined on [0,[pi]] and then evenly extended to [-[pi],0[- with the Fourier expansion
8](x) = [absolute value of sin(x)] with the Fourier expansion
The problem is easily corrected by using Fourier expansions in Section III of [4].
Our methodology follows that of [KP96], the asymptotic technique that yields the main terms and Fourier expansions of the fluctuating functions very effectively is "Rice's method", as surveyed in [FS95].