浙江大学学报（理学版）2025，Vol.52Issue(3)：377-382,6.DOI:10.3785/j.issn.1008-9497.2025.03.010
一类求积公式及相关Marcinkiewicz-Zygmund不等式
A class of quadrature formulas and related Marcinkiewicz-Zygmund inequalities
摘要
Abstract
In this paper,we establish the Simpson quadrature formula for continuous periodic functions and investigate its quadrature accuracy for trigonometric polynomials,that is,when the quadrature formula holds exactly.Further,the Marcinkiewicz-Zygmund inequalities related to the Simpson formula is investigated with respect to the Lp norm by utilizing tools such as the discrete Fourier operators and the Vallee-Poussin operators.关键词
三角多项式/周期函数/离散算子/Simpson求积公式/Marcinkiewicz-Zygmund不等式Key words
trigonometric polynomial/periodic function/discrete operator/Simpson quadrature formula/Marcinkiewicz-Zygmund inequality分类
数学引用本文复制引用
王丹丹,赵易..一类求积公式及相关Marcinkiewicz-Zygmund不等式[J].浙江大学学报（理学版）,2025,52(3):377-382,6.基金项目
国家自然科学基金资助项目(11601110). （11601110）
