Asymptotic expansions of integrals of certain rapidly oscillating functions

U. Banerjee; L. J. Lardy; A. Lutoborski

doi:10.1090/S0025-5718-1987-0890265-6

Asymptotic expansions of integrals of certain rapidly oscillating functions

U. Banerjee, L. J. Lardy, A. Lutoborski

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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)
Pages (from-to)	243-249
Number of pages	7
Journal	Mathematics of Computation
Volume	49
Issue number	179
DOIs	https://doi.org/10.1090/S0025-5718-1987-0890265-6
State	Published - Jul 1987

ASJC Scopus subject areas

Algebra and Number Theory
Computational Mathematics
Applied Mathematics

Access to Document

10.1090/S0025-5718-1987-0890265-6

Cite this

@article{b0ca54a915814b59a9f6751687a7e7ee,

title = "Asymptotic expansions of integrals of certain rapidly oscillating functions",

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.",

author = "U. Banerjee and Lardy, {L. J.} and A. Lutoborski",

year = "1987",

month = jul,

doi = "10.1090/S0025-5718-1987-0890265-6",

language = "English (US)",

volume = "49",

pages = "243--249",

journal = "Mathematics of Computation",

issn = "0025-5718",

publisher = "American Mathematical Society",

number = "179",

}

TY - JOUR

T1 - Asymptotic expansions of integrals of certain rapidly oscillating functions

AU - Banerjee, U.

AU - Lardy, L. J.

AU - Lutoborski, A.

PY - 1987/7

Y1 - 1987/7

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84966257719&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84966257719&partnerID=8YFLogxK

U2 - 10.1090/S0025-5718-1987-0890265-6

DO - 10.1090/S0025-5718-1987-0890265-6

M3 - Article

AN - SCOPUS:84966257719

SN - 0025-5718

VL - 49

SP - 243

EP - 249

JO - Mathematics of Computation

JF - Mathematics of Computation

IS - 179

ER -

Asymptotic expansions of integrals of certain rapidly oscillating functions

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this