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考虑已有文献引入的含有参变量的加权积分，用引入参数求最值的方法，证明了在Lipschitz条件下这些积分都是关于参变量的Lipschitzian函数，并且给出更强的结果.在特殊情况下得到Fejér型不等式.
Abstract：Some weighted integral functions introduced by the existing literatures are considered.It is proved that these functions are Lipschitzian functions under Lipschitz conditions by using the method of introducing parameters to find the optimal value, and the stronger results are given. In special cases, Fejér type inequalities are obtained.
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基本信息:
中图分类号:O178
引用信息:
[1]曾志红,时统业,曹俊飞.Lipschitzian函数的Fejér型不等式[J].汕头大学学报(自然科学版),2026,41(01):71-80.
基金信息:
广东省重点建设学科科研能力提升项目（2021ZDJS055）; 广东省普通高校科研重点平台和项目—重点领域专项（2023ZDZX4042）; 广州市海珠区科技计划项目（海科工商信计2022-37）
2026-02-15
2026-02-15