Some new error inequalities for a generalized quadrature rule of open type

Wenjun Liu; Yanan Sun; Qilin Zhang

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Some new error inequalities for a generalized quadrature rule of open type

机译：开型广义正交规则的一些新的误差不等式

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摘要

Some new error inequalities for a generalized quadrature rule of open type are established. Especially, two sharp inequalities are derived when n is an odd and an even integer, respectively.

机译：建立了开放型广义正交规则的一些新的误差不等式。特别是，当n分别为奇数和偶数整数时，得出两个尖锐的不等式。

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来源
《Computers & mathematics with applications》 |2011年第5期|p.2218-2224|共7页
作者
Wenjun Liu; Yanan Sun; Qilin Zhang;
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作者单位

College of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing 210044, China;

College of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing 210044, China;

College of Atmospheric Physics, Nanjing University of Information Science and Technology, Nanjing 210044, China;

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原文格式 PDF
正文语种 eng
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关键词
error inequalities; quadrature rule; sharp inequalities;

机译：错误不等式;正交规则严重不平等;

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专利

1. Inequalities Between the Quadrature Operators and Error Bounds of Quadrature Rules [J] . Szymon Wasowicz Journal of inequalities in pure and applied mathematics . 2007,第2期

机译：正交算子与正交规则的误差界之间的不等式
2. On Quadrature Rules, Inequalities and Error Bounds [J] . Szymon Wasowicz Journal of inequalities in pure and applied mathematics . 2008,第2期

机译：关于正交规则，不等式和误差界
3. Hermite-Hadamard-type inequalities for Radau-type quadrature rules [J] . Iva Franji? Journal of Mathematical Inequalities . 2009,第3期

机译：Radau型正交规则的Hermite-Hadamard型不等式
4. Blind restoration/superresolution with generalized cross-validation using Gauss-type quadrature rules [C] . Nguyen, N., Golub, . 1999

机译：使用高斯型正交规则进行广义交叉验证的盲恢复/超分辨率
5. Gauss-Type Quadrature Rules, with Applications in Linear Algebra [D] . Alqahtani, Hessah F. 2018

机译：高斯型正交规则及其在线性代数中的应用
6. Padé approximant related to inequalities involving the constant e and a generalized Carleman-type inequality [O] . Chao-Ping Chen, Hui-Jie Zhang -1

机译：与不等式有关的Padé逼近涉及常数e和广义Carleman型不等式
7. Some new error inequalities for a generalized quadrature rule of open type [O] . Liu Wenjun, Sun Yanan, Zhang Qilin 2011

机译：开型广义正交规则的一些新的误差不等式

Some new error inequalities for a generalized quadrature rule of open type

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