An intertwined Cauchy--Schwarz-type inequality based on a Lagrange-type identity
英文摘要：
Based on an apparently new Lagrange-type identity, a Cauchy--Schwarz-type inequality is proved. The mentioned identity is obtained by using certain ``macro'' variables; it is hoped that such a method can be used to prove or produce other identities and inequalities.
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。
