{"title":"三变量HILBERT不等式的新离散形式","authors":"Nizar KH. AL-OUSHOUSH","doi":"10.54379/jma-2022-3-5","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce a new form of discrete Hilbert inequality for three variables, also, we prove that the constant which appears on the right hand of inequality is the best constant. Also, the reverse form and equivalent forms are, obtained.","PeriodicalId":45467,"journal":{"name":"Journal of Mathematical Analysis","volume":" ","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"NEW DISCRETE FORM OF HILBERT INEQUALITY FOR THREE VARIABLES\",\"authors\":\"Nizar KH. AL-OUSHOUSH\",\"doi\":\"10.54379/jma-2022-3-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we introduce a new form of discrete Hilbert inequality for three variables, also, we prove that the constant which appears on the right hand of inequality is the best constant. Also, the reverse form and equivalent forms are, obtained.\",\"PeriodicalId\":45467,\"journal\":{\"name\":\"Journal of Mathematical Analysis\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2022-06-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.54379/jma-2022-3-5\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.54379/jma-2022-3-5","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
NEW DISCRETE FORM OF HILBERT INEQUALITY FOR THREE VARIABLES
In this paper, we introduce a new form of discrete Hilbert inequality for three variables, also, we prove that the constant which appears on the right hand of inequality is the best constant. Also, the reverse form and equivalent forms are, obtained.
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