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

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。

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

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基金资助

国家自然科学基金(61772140)