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Kukarkin, A. B.; Novikova, E. I.

Evaluation of integrals of rapidly oscillating functions by Longman’s method. (English. Russian original) Zbl 0494.65081

U.S.S.R. Comput. Math. Math. Phys. 21, No. 5, 16-25 (1981); translation from Zh. Vychisl. Mat. Mat. Fiz. 21, 1091-1099 (1981).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0494.65081

MSC:

65T40 Numerical methods for trigonometric approximation and interpolation
65D32 Numerical quadrature and cubature formulas
41A55 Approximate quadratures
42A16 Fourier coefficients, Fourier series of functions with special properties, special Fourier series
65R10 Numerical methods for integral transforms

Keywords:

rapidly oscillating functions; error estimates; Longman’s method; quadrature formulae; optimal error; Fourier integrals

Citations:

Zbl 0097.121
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