{"title":"关于一个特殊的基尼平均值","authors":"J. Sándor","doi":"10.1556/314.2022.00010","DOIUrl":null,"url":null,"abstract":"<jats:p>We offer new properties of the special Gini mean <jats:italic>S</jats:italic>(<jats:italic>a, b</jats:italic>) = <jats:italic>a<jats:sup>a</jats:sup>\n </jats:italic>\n <jats:sup>/(</jats:sup>\n <jats:italic>\n <jats:sup>a</jats:sup>\n </jats:italic>\n <jats:sup>+</jats:sup>\n <jats:italic>\n <jats:sup>b</jats:sup>\n </jats:italic>\n <jats:sup>)</jats:sup> ⋅ <jats:italic>b<jats:sup>b</jats:sup>\n </jats:italic>\n <jats:sup>/(</jats:sup>\n <jats:italic>\n <jats:sup>a</jats:sup>\n </jats:italic>\n <jats:sup>+</jats:sup>\n <jats:italic>\n <jats:sup>b</jats:sup>\n </jats:italic>\n <jats:sup>)</jats:sup>, in connections with other special means of two arguments.</jats:p>","PeriodicalId":383314,"journal":{"name":"Mathematica Pannonica","volume":"18 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On a Special Gini Mean\",\"authors\":\"J. Sándor\",\"doi\":\"10.1556/314.2022.00010\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<jats:p>We offer new properties of the special Gini mean <jats:italic>S</jats:italic>(<jats:italic>a, b</jats:italic>) = <jats:italic>a<jats:sup>a</jats:sup>\\n </jats:italic>\\n <jats:sup>/(</jats:sup>\\n <jats:italic>\\n <jats:sup>a</jats:sup>\\n </jats:italic>\\n <jats:sup>+</jats:sup>\\n <jats:italic>\\n <jats:sup>b</jats:sup>\\n </jats:italic>\\n <jats:sup>)</jats:sup> ⋅ <jats:italic>b<jats:sup>b</jats:sup>\\n </jats:italic>\\n <jats:sup>/(</jats:sup>\\n <jats:italic>\\n <jats:sup>a</jats:sup>\\n </jats:italic>\\n <jats:sup>+</jats:sup>\\n <jats:italic>\\n <jats:sup>b</jats:sup>\\n </jats:italic>\\n <jats:sup>)</jats:sup>, in connections with other special means of two arguments.</jats:p>\",\"PeriodicalId\":383314,\"journal\":{\"name\":\"Mathematica Pannonica\",\"volume\":\"18 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-03-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematica Pannonica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1556/314.2022.00010\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematica Pannonica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1556/314.2022.00010","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
我们给出了特殊基尼均值S(a, b) = aa /(a + b)·bb /(a + b)的新性质，并与其他特殊的两个参数相联系。
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