orthogonal series

orthogonal series

[ȯr¦thäg·ən·əl ′sir‚ēz]
(mathematics)
An infinite series each term of which is the product of a member of an orthogonal family of functions and a coefficient; the coefficients are usually chosen so that the series converges to a desired function.
References in periodicals archive ?
Grigorian, On the representation of functions by orthogonal series in weighted [L.
0,1]] orthogonal series, Journal of Contemporary Mathematical Analysis, 35:4(2000), 44-64.
In practice, the effectiveness of the algorithms hinges on their stability behavior and the rate at which the underlying orthogonal series expansions converge to the exponential function.
Although the orthogonal series considered in this study are primarily designed to approximate the exponential of a real variable, it is worth exploring how these series will behave if the real variable x is replaced by a complex variable z.
28] YUAN XU, Summability of Fourier orthogonal series for Jacobi weight on a ball in Rd, Trans.
29] YUAN XU, Orthogonal polynomials and summability in Fourier orthogonal series on spheres and on balls, Math.

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