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【广州工商学院】A simple proof of the higher order Turan inequalities for Boros-Moll sequences

2023年11月21日 10:12  点击:[]

人:赵静宇 副教授 广州工商学院

报告时间:20231122日(星期 10:00-11:00

报告地点:线上报告 腾讯会议号:941714810

校内联系人:毛建玺  联系电话:84708350


报告摘要: Recently, the higher order Turan inequalities for the Boros-Moll sequences were obtained by Guo. In this talk, we show a different approach to this result. Our proof is based on a criterion derived by Hou and Li, which need only checking four simple inequalities related to sufficiently sharp bounds for 2-fold ratio of the term $d_\ell(m)$. In order to do so, we adopt the upper bound given by Chen and Gu in studying the reverse ultra log-concavity of Boros-Moll polynomials, and establish a desired lower bound by hand.


报告人简介:赵静宇,毕业于南开大学组合数学中心,南卡罗莱纳大学数学系访问学者。主要研究兴趣为整数分拆理论及组合不等式,已在《Discrete Mathematics》《Electronic Journal of Combinatorics》等期刊发表数篇专业论文。


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