摘要
本文以三角多项式类作为工具讨论了偶数个结点情况下的带重结点的具有最大三角精度的三角求积公式,由拟正交三角多项式的性质给出了求积公式系数的迭代构造.
In this paper, using the family of trigonometric polynomial, we discuss the trigonometric quadrature for- mula with multiple nodes at the situation of even nodes, which have the maximal trigonometric degree of exactness. We illustrate the iterative construction of the coefficients with the property of the quasi - orthogonal trigonometric polynomial.
出处
《数学理论与应用》
2012年第1期13-18,共6页
Mathematical Theory and Applications
基金
国家自然科学基金(批准号:11045004)
湖北省教育厅科研基金重点项目(批准号:D20101506)资助的课题
关键词
三角多项式类
三角求积
迭代法
Family of trigonometric polynomial
Trigonometric quadrature
Iterative
