Hiroki Sano, Tamotsu Izumida, Ken-Ichi Mitani, T. Ohwada, K. Saito
{"title":"三角不等式中间值的表征2","authors":"Hiroki Sano, Tamotsu Izumida, Ken-Ichi Mitani, T. Ohwada, K. Saito","doi":"10.2478/s11533-013-0369-7","DOIUrl":null,"url":null,"abstract":"In [Mineno K., Nakamura Y., Ohwada T., Characterization of the intermediate values of the triangle inequality, Math. Inequal. Appl., 2012, 15(4), 1019–1035] there was established a norm inequality which characterizes all intermediate values of the triangle inequality, i.e. Cn that satisfy 0 ≤ Cn ≤ Σj=1n ‖xj‖ − ‖Σj=1nxj‖, x1,...,xn ∈ X. Here we study when this norm inequality attains equality in strictly convex Banach spaces.","PeriodicalId":50988,"journal":{"name":"Central European Journal of Mathematics","volume":"1 1","pages":"778-786"},"PeriodicalIF":0.0000,"publicationDate":"2014-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Characterization of intermediate values of the triangle inequality II\",\"authors\":\"Hiroki Sano, Tamotsu Izumida, Ken-Ichi Mitani, T. Ohwada, K. Saito\",\"doi\":\"10.2478/s11533-013-0369-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In [Mineno K., Nakamura Y., Ohwada T., Characterization of the intermediate values of the triangle inequality, Math. Inequal. Appl., 2012, 15(4), 1019–1035] there was established a norm inequality which characterizes all intermediate values of the triangle inequality, i.e. Cn that satisfy 0 ≤ Cn ≤ Σj=1n ‖xj‖ − ‖Σj=1nxj‖, x1,...,xn ∈ X. Here we study when this norm inequality attains equality in strictly convex Banach spaces.\",\"PeriodicalId\":50988,\"journal\":{\"name\":\"Central European Journal of Mathematics\",\"volume\":\"1 1\",\"pages\":\"778-786\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-01-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Central European Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2478/s11533-013-0369-7\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Central European Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/s11533-013-0369-7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Characterization of intermediate values of the triangle inequality II
In [Mineno K., Nakamura Y., Ohwada T., Characterization of the intermediate values of the triangle inequality, Math. Inequal. Appl., 2012, 15(4), 1019–1035] there was established a norm inequality which characterizes all intermediate values of the triangle inequality, i.e. Cn that satisfy 0 ≤ Cn ≤ Σj=1n ‖xj‖ − ‖Σj=1nxj‖, x1,...,xn ∈ X. Here we study when this norm inequality attains equality in strictly convex Banach spaces.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
