{"title":"凸函数有限希尔伯特变换的Jensen型不等式","authors":"S. Dragomir","doi":"10.31926/but.mif.2020.13.62.2.10","DOIUrl":null,"url":null,"abstract":"In this paper we obtain some new inequalities for the finite Hilbert transform of convex functions by the use of Jensen’s integral inequality. Applications for exponential function are provided as well.","PeriodicalId":38784,"journal":{"name":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","volume":"1999 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Jensen's type inequalities for the finite Hilbert transform of convex functions\",\"authors\":\"S. Dragomir\",\"doi\":\"10.31926/but.mif.2020.13.62.2.10\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we obtain some new inequalities for the finite Hilbert transform of convex functions by the use of Jensen’s integral inequality. Applications for exponential function are provided as well.\",\"PeriodicalId\":38784,\"journal\":{\"name\":\"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics\",\"volume\":\"1999 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-12-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31926/but.mif.2020.13.62.2.10\",\"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":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31926/but.mif.2020.13.62.2.10","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
Jensen's type inequalities for the finite Hilbert transform of convex functions
In this paper we obtain some new inequalities for the finite Hilbert transform of convex functions by the use of Jensen’s integral inequality. Applications for exponential function are provided as well.