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Mathematics of Computation

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Asymptotic expansions of integrals of certain rapidly oscillating functions

Authors: U. Banerjee, L. J. Lardy and A. Lutoborski
Journal: Math. Comp. 49 (1987), 243-249
MSC: Primary 41A55; Secondary 41A60
MathSciNet review: 890265
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Abstract: An expansion in terms of powers of $ {m^{ - 1}}$ is given for integrals of the form $ \smallint _0^1f(x)\bar w(mx)\,dx$, where m is a positive integer, $ \bar w(mx)$ is an integrable rapidly oscillating function with period $ {m^{ - 1}}$, and $ f(x)$ is a smooth function.

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Article copyright: © Copyright 1987 American Mathematical Society