{"title":"时间尺度上两个参数的Diamond-alpha不等式","authors":"B. Benaissa, M. Sarıkaya","doi":"10.31926/but.mif.2023.3.65.1.4","DOIUrl":null,"url":null,"abstract":"In this article, we give a new version of n-tuple diamond-alpha H¨older inequality on time scales, this result generalizes some results known in the literature. Second, we present n-tuple diamond-alpha inequality with two parameters on time scales. It is a tool to generalize integral inequalities on time scales, its goal is to create an inequality restarted from the left side with a parameter to a right side with two parameters. Moreover, new Minkowski integral inequality with two parameters is given, and some interesting integral inequalities are found.","PeriodicalId":53266,"journal":{"name":"Bulletin of the Transilvania University of Brasov Series V Economic Sciences","volume":"33 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Diamond-alpha inequalities with two parameters on time scales\",\"authors\":\"B. Benaissa, M. Sarıkaya\",\"doi\":\"10.31926/but.mif.2023.3.65.1.4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, we give a new version of n-tuple diamond-alpha H¨older inequality on time scales, this result generalizes some results known in the literature. Second, we present n-tuple diamond-alpha inequality with two parameters on time scales. It is a tool to generalize integral inequalities on time scales, its goal is to create an inequality restarted from the left side with a parameter to a right side with two parameters. Moreover, new Minkowski integral inequality with two parameters is given, and some interesting integral inequalities are found.\",\"PeriodicalId\":53266,\"journal\":{\"name\":\"Bulletin of the Transilvania University of Brasov Series V Economic Sciences\",\"volume\":\"33 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-07-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of the Transilvania University of Brasov Series V Economic Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31926/but.mif.2023.3.65.1.4\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the Transilvania University of Brasov Series V Economic Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31926/but.mif.2023.3.65.1.4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Diamond-alpha inequalities with two parameters on time scales
In this article, we give a new version of n-tuple diamond-alpha H¨older inequality on time scales, this result generalizes some results known in the literature. Second, we present n-tuple diamond-alpha inequality with two parameters on time scales. It is a tool to generalize integral inequalities on time scales, its goal is to create an inequality restarted from the left side with a parameter to a right side with two parameters. Moreover, new Minkowski integral inequality with two parameters is given, and some interesting integral inequalities are found.