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《Journal of Minnan Normal University(Natural Science)》 2018-03
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Methods of Mathematical Analysis in the Remainder on Newton-Cotes Formula

FENG Xiaoxia;LING Yonghui;School of Mathematics and Statistics, Minnan Normal University;  
In order to derive the uniform expression of the remainder about Newton-Cotes formula with order n, the polynomial in its difference quotient remainder plays an important role. When n ≥ 2, we apply some theories and methods of mathematical analysis to study the symmetry, extreme point, maximum and minimum values of the integral with the changed upper limit about this polynomial,furthermore, we obtain a new proof that this integral with the changed upper limit is not sign-changing.
【Fund】: 福建省教改课题(JAS151294)
【CateGory Index】: O171
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