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OPTIMAL ERROR ESTIMATES FOR CORRECTED TRAPEZOIDAL RULES ERIK TALVILA AND MATTHEW WIERSMA Rb Abstract. Corrected trapezoidal rules are proved for a f (x) dx under the assumption that f 00 ∈ Lp ([a, b]) for some 1 ≤ p
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Document Date: 2012-05-16 21:18:39
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File Size: 229,79 KB
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Country
Canada /
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Facility
University of Alberta /
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NaturalFeature
Fraser Valley /
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Organization
University of Alberta /
Natural Sciences and Engineering Research Council of Canada /
Department of Mathematical and Statistical Sciences /
University of the Fraser Valley /
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Person
MATTHEW WIERSMA /
ERIK TALVILA /
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Position
first author /
second author /
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ProvinceOrState
Alberta /
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SocialTag
Numerical integration
Integral calculus
Functions and mappings
Numerical analysis
Integral
Henstock–Kurzweil integral
Trapezoidal rule
Polynomial
Newton–Cotes formulas
Mathematical analysis