Asymptotic expressions for remainder terms of some quadrature rules
Open Mathematics (2008)
- Volume: 6, Issue: 4, page 559-567
- ISSN: 2391-5455
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topNenad Ujević, and Nataša Bilić. "Asymptotic expressions for remainder terms of some quadrature rules." Open Mathematics 6.4 (2008): 559-567. <http://eudml.org/doc/269515>.
@article{NenadUjević2008,
abstract = {Asymptotic expressions for remainder terms of the mid-point, trapezoid and Simpson’s rules are given. Corresponding formulas with finite sums are also given.},
author = {Nenad Ujević, Nataša Bilić},
journal = {Open Mathematics},
keywords = {quadrature rules; error terms; asymptotic expressions; asymptotic expansions; remainder terms; mid-point; trapezoid and Simpson's rules},
language = {eng},
number = {4},
pages = {559-567},
title = {Asymptotic expressions for remainder terms of some quadrature rules},
url = {http://eudml.org/doc/269515},
volume = {6},
year = {2008},
}
TY - JOUR
AU - Nenad Ujević
AU - Nataša Bilić
TI - Asymptotic expressions for remainder terms of some quadrature rules
JO - Open Mathematics
PY - 2008
VL - 6
IS - 4
SP - 559
EP - 567
AB - Asymptotic expressions for remainder terms of the mid-point, trapezoid and Simpson’s rules are given. Corresponding formulas with finite sums are also given.
LA - eng
KW - quadrature rules; error terms; asymptotic expressions; asymptotic expansions; remainder terms; mid-point; trapezoid and Simpson's rules
UR - http://eudml.org/doc/269515
ER -
References
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- [9] Pearce C.E.M., Pečarić J., Ujevic N., Varosanec S., Generalizations of some inequalities of Ostrowski-Gross type, Math. Inequal. Appl., 2000, 3, 25–34 Zbl0978.26011
- [10] Ujevic N., On perturbed mid-point and trapezoid inequalities and applications, Kyungpook Math. J., 2003, 43, 327–334 Zbl1034.26023
- [11] Ujevic N., A generalization of Ostrowski’s inequality and applications in numerical integration, Appl. Math. Lett., 2004, 17, 133–137 http://dx.doi.org/10.1016/S0893-9659(04)90023-7 Zbl1057.26023
- [12] Ujevic N., Roberts A.J., A corrected quadrature formula and applications, ANZIAM J., 2003, 45, 41–56 Zbl1076.41017
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