DOUBLE Φ-FUNCTION INEQUALITY FOR NONNEGATIVE SUBMARTINGALES

查看全文 作　　者：MEI TAO(College of Mathematics and Computer Sciences, Wuhan University, Wuhan 430072, China.) LIU PEIDE(College of Mathematics and Computer Sciences, Wuhan University, Wuhan 430072, China.)

出　　处：《Chinese Annals of Mathematics,Series B》索引2000年第21卷第2期,共6页

基　　金：National Natural Science Foundation of China 摘　　要：The authors establish a kind of inequalities for nonnegative submartingales which depend on two functions ψ and ψ, and obtain the equivalent conditions for Φ and ψ such that this kind of inequalities holds. In the caseΦ=ψ ε△2, it is proved that this necessary and sufficient condition is equivalent to qΦ >1. 关键词：Φ-函数不等式极大函数非负下鞅

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DOUBLE Φ-FUNCTION INEQUALITY FOR NONNEGATIVE SUBMARTINGALES

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