### Abstract

An expansion in terms of powers of m-1 is given for integrals of the form f(x)w(mx)dx, where m is a positive integer, w(mx) is an integrable rapidly oscillating function with period m-l, and f(x) is a smooth function.

Original language | English (US) |
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Pages (from-to) | 243-249 |

Number of pages | 7 |

Journal | Mathematics of Computation |

Volume | 49 |

Issue number | 179 |

DOIs | |

State | Published - 1987 |

### ASJC Scopus subject areas

- Algebra and Number Theory
- Computational Mathematics
- Applied Mathematics

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## Cite this

Banerjee, U., Lardy, L. J., & Lutoborski, A. (1987). Asymptotic expansions of integrals of certain rapidly oscillating functions.

*Mathematics of Computation*,*49*(179), 243-249. https://doi.org/10.1090/S0025-5718-1987-0890265-6