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Various error estimations for several Newton–cotes quadrature formulae in terms of at most first derivative and applications in numerical integration
Joint Authors
Dragomir, S. S.
al-Umari, M. W.
Source
Jordan Journal of Mathematics and Statistics
Issue
Vol. 7, Issue 2 (30 Jun. 2014), pp.89-108, 20 p.
Publisher
Yarmouk University Deanship of Research and Graduate Studies
Publication Date
2014-06-30
Country of Publication
Jordan
No. of Pages
20
Main Subjects
Topics
Abstract EN
Error estimates for midpoint, trapezoid, Simpson’s, Maclaurin’s, 3 = 8-Simpson’s and Boole’s type rules are obtained.
Some related inequalities of Ostrowski’s type are pointed out.
These results are obtained for mappings of bounded variation, Lipschitzian, and absolutely continuous mappings whose first derivatives are belong to Lp [a ; b] (1 • p • 1).
Applications to numerical integration are provided.
American Psychological Association (APA)
al-Umari, M. W.& Dragomir, S. S.. 2014. Various error estimations for several Newton–cotes quadrature formulae in terms of at most first derivative and applications in numerical integration. Jordan Journal of Mathematics and Statistics،Vol. 7, no. 2, pp.89-108.
https://search.emarefa.net/detail/BIM-393847
Modern Language Association (MLA)
al-Umari, M. W.& Dragomir, S. S.. Various error estimations for several Newton–cotes quadrature formulae in terms of at most first derivative and applications in numerical integration. Jordan Journal of Mathematics and Statistics Vol. 7, no. 2 (Jun. 2014), pp.89-108.
https://search.emarefa.net/detail/BIM-393847
American Medical Association (AMA)
al-Umari, M. W.& Dragomir, S. S.. Various error estimations for several Newton–cotes quadrature formulae in terms of at most first derivative and applications in numerical integration. Jordan Journal of Mathematics and Statistics. 2014. Vol. 7, no. 2, pp.89-108.
https://search.emarefa.net/detail/BIM-393847
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 105-108
Record ID
BIM-393847