The use of the euler functions for error estimates of the trapezoidal and simpson’s quadratures

Yue Kuen Kwok

doi:10.1080/0020739900210604

The use of the euler functions for error estimates of the trapezoidal and simpson’s quadratures

Yue Kuen Kwok^*

^*Corresponding author for this work

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

Abstract

Error estimates of the trapezoidal and Simpson’s quadratures are derived using the Euler functions. The error formulae are expressed in terms of the bounds on various higher-order derivatives of the integrand.

Original language	English
Pages (from-to)	863-870
Number of pages	8
Journal	International Journal of Mathematical Education in Science and Technology
Volume	21
Issue number	6
DOIs	https://doi.org/10.1080/0020739900210604
Publication status	Published - 1990
Externally published	Yes

Access to Document

10.1080/0020739900210604

Cite this

@article{46d4419c27774fc28a8b46022e639630,

title = "The use of the euler functions for error estimates of the trapezoidal and simpson{\textquoteright}s quadratures",

abstract = "Error estimates of the trapezoidal and Simpson{\textquoteright}s quadratures are derived using the Euler functions. The error formulae are expressed in terms of the bounds on various higher-order derivatives of the integrand.",

author = "Kwok, \{Yue Kuen\}",

year = "1990",

doi = "10.1080/0020739900210604",

language = "English",

volume = "21",

pages = "863--870",

journal = "International Journal of Mathematical Education in Science and Technology",

issn = "0020-739X",

publisher = "Taylor and Francis Ltd.",

number = "6",

}

TY - JOUR

T1 - The use of the euler functions for error estimates of the trapezoidal and simpson’s quadratures

AU - Kwok, Yue Kuen

PY - 1990

Y1 - 1990

N2 - Error estimates of the trapezoidal and Simpson’s quadratures are derived using the Euler functions. The error formulae are expressed in terms of the bounds on various higher-order derivatives of the integrand.

AB - Error estimates of the trapezoidal and Simpson’s quadratures are derived using the Euler functions. The error formulae are expressed in terms of the bounds on various higher-order derivatives of the integrand.

UR - https://openalex.org/W2023389113

U2 - 10.1080/0020739900210604

DO - 10.1080/0020739900210604

M3 - Journal Article

SN - 0020-739X

VL - 21

SP - 863

EP - 870

JO - International Journal of Mathematical Education in Science and Technology

JF - International Journal of Mathematical Education in Science and Technology

IS - 6

ER -

The use of the euler functions for error estimates of the trapezoidal and simpson’s quadratures

Abstract

Access to Document

Other files and links

Fingerprint

Cite this