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OA
A Half-Discrete Mulholland-Type Inequality Involving Multiple Variable Upper Limit Function and Partial Sums
应用权函数方法、Euler-Maclaurin求和公式、Abel求部分和公式及微分中值定理,给出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,并讨论新不等式中最佳常数因子联系多参数的等价性.
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.
曾志红;杨必成
广东第二师范学院学报编辑部,广州 510303广东第二师范学院数学学院,广州 510303
数理科学
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
weight coefficientparameterhalf-discrete Mulholland-type inequalityEuler-Maclaurin summation formulapartial sumsAbel's summation by parts formula
《吉林大学学报（理学版）》 2026 (3)
511-520,10
国家自然科学基金(批准号:61772140).
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