Bounds for certain integrals

A certain class of definite integrals is considered in which the integrand consists of a one-signed function together with another function which has a one-signed derivative in a certain interval. By examining the Cauchy form of the remainder, sets of bounds are developed which have a certain optimu...

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Veröffentlicht in:	Journal of computational and applied mathematics 1984-01, Vol.10 (2), p.245-254
Hauptverfasser:	Bowman, K.O., Lam, H.K., Shenton, L.R.
Format:	Artikel
Sprache:	eng
Schlagworte:	elliptic integrals Exact sciences and technology Mathematics Numerical analysis Numerical analysis. Scientific computation Numerical approximation Quadrature formulas remainders Sciences and techniques of general use
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	A certain class of definite integrals is considered in which the integrand consists of a one-signed function together with another function which has a one-signed derivative in a certain interval. By examining the Cauchy form of the remainder, sets of bounds are developed which have a certain optimum property. The integrals may be multi-dimensional. The case in which the derivative component is not one-signed is briefly considered.
ISSN:	0377-0427 1879-1778
DOI:	10.1016/0377-0427(84)90061-X