关于“双边”单调性条件的一个注记：对$L^{p}$收敛性的应用
A Remark on "Two-Sided" Monotonicity Condition: An Application to $L^{p}$ Convergence
摘要：
为了验证[8]中引入的“双边”单调性条件的普遍有效性，我们将应用它来包括更经典的例子。为此，本文选择了$L^{p}$收敛的情况。此外，定理3表明，我们的改进是不平凡的。
英文摘要：
To verify the universal validity of the "two-sided" monotonicity condition introduced in [8], we will apply it to include more classical examples. The present paper selects the $L^{p}$ convergence case for this purpose. Furthermore, Theorem 3 shows that our improvements are not trivial.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
