一类Newman多项式的性质
Properties of a Class of Newman Polynomials
DOI: 10.12677/PM.2022.124062, PDF,    科研立项经费支持
作者: 李昌吉：阿坝师范学院，藏汉双语学院，四川 汶川
关键词: Newman多项式；系数；极值性质；Newman Polynomials； Coefficients； Extremal Properties
摘要: 与系数相关的表达式的极值问题是Newman多项式相关研究中的一个热点。令hi（x）是一类系数全为1的Newman多项式，借助不等式和组合的方法，讨论了与hi3（x）、hi4（x）系数相关表达式的取值，给出了该表达式的极值，从n的不同取值对结论进行了推广。
Abstract: The extreme value problem of the expression related to coefficients is a hot spot in the research of Newman polynomials. Letting hi（x） be a kind of Newman polynomials with all coefficients of 1, the value of the coefficient correlation expression of the hi3（x） and hi4（x） is discussed by method of inequality and combination，and the extremal properties of the expression are given, and the conclusion is generalized from different values of n.
文章引用：李昌吉. 一类Newman多项式的性质[J]. 理论数学, 2022, 12(4): 561-564. https://doi.org/10.12677/PM.2022.124062

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