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Approximation of functions by the Fourier-Bessel sums. (English. Russian original) Zbl 1029.42023

Russ. Math. 45, No. 8, 1-7 (2001); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2001, No. 8, 3-9 (2001).
There are proved the direct and inverse approximation theorems as well as the order of the \(n\)-widths according to Kolmogorov is given.

MSC:

42C15 General harmonic expansions, frames
41A46 Approximation by arbitrary nonlinear expressions; widths and entropy
42C10 Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)
41A50 Best approximation, Chebyshev systems
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