改进的非单调非衰减系数Vietoris正弦不等式
Improved Vietoris Sine Inequalities for Non-Monotone, Non-Decaying Coefficients
摘要：
最近，作者对经典的Vietoris正弦不等式进行了改进，使其包含了非单调系数的正弦多项式。本文提出了两个进一步的改进，允许非单调和非衰减系数的正弦多项式。两个结果的极值和具有系数序列{2a，a，4/3，1，6/5，1，8/7，1，.}，其中a = 0.78265...，和{3，3/2，7/3，7/4，11/5，11/6，.}。
英文摘要：
Recently the author established an improvement of the classical Vietoris sine inequality to include sine polynomials with non-monotone coefficients. In this paper two further improvements are presented admitting sine polynomials with non-monotone and non-decaying coefficients. The extremal sums of the two results have the coefficient sequences {2a, a, 4/3, 1, 6/5, 1, 8/7, 1, ...}, where a = 0.78265..., and {3, 3/2, 7/3, 7/4, 11/5, 11/6, ...}.
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。
