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Security Steiner's Inequality on Layering Functions

查看全文 作  者:WEI [1]Xinnan;LIN [1]Youjiang 高影响力作者 机构地区:[1]School of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067,China高影响力机构 出  处:《Wuhan University Journal of Natural Sciences》索引2022年第27卷第2期,共3页高影响力期刊 基  金:the National Natural Science Foundation of China(11971080);Science and Technology Research Program of Chongqing Municipal Education Commission(KJQN202000838);the Basic and Advanced Research Project of Chongqing(cstc2018jcyj AX0790,cstc2020jcyj-msxm X0328);the Innovative Project of Chongqing Technology and Business University(yjscxx2021-112-56)。 摘  要:The classical definition of Steiner symmetrizations of functions are defined according to the Steiner symmetrizations of function level sets and the layered representation of functions.In this paper,the definition is not only transformed into Steiner symmetrizations of one-dimensional parabolic functions,but also depends on the Steiner symmetrizations of the level sets of log-concave functions.To this end we prove Steiner’s inequality on layering functions in the space of log-concave functions. 关 键 词:FUNCTIONS STEINER CONCAVE
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