吉林大学学报（理学版）2026，Vol.64Issue(3)：511-520,10.DOI:10.13413/j.cnki.jdxblxb.2025210
一个涉及多重可变上限函数及部分和的半离散Mulholland型不等式
A Half-Discrete Mulholland-Type Inequality Involving Multiple Variable Upper Limit Function and Partial Sums
摘要
Abstract
By using the weight function method,the Euler-Maclaurin summation formula,Abel's summation by parts formula and the differential mean value theorem,we gave a new half-discrete Mulholland-type inequality involving multiple upper limit function and partial sums,and discussed the equivalence of the best constant factor with multiple parameters in the new inequality.关键词
权系数/参数/半离散Mulholland型不等式/Euler-Maclaurin求和公式/部分和/Abel求部分和公式Key words
weight coefficient/parameter/half-discrete Mulholland-type inequality/Euler-Maclaurin summation formula/partial sums/Abel's summation by parts formula分类
数理科学引用本文复制引用
曾志红,杨必成..一个涉及多重可变上限函数及部分和的半离散Mulholland型不等式[J].吉林大学学报（理学版）,2026,64(3):511-520,10.基金项目
国家自然科学基金(批准号:61772140). （批准号:61772140）
