{"title":"算子加权几何平均的若干不等式","authors":"S. Dragomir","doi":"10.31926/but.mif.2019.61.12.2.8","DOIUrl":null,"url":null,"abstract":"In this paper, by the use of some recent Young's type scalar inequalities we obtain some inequalities for the weighted geometric mean of two positive operators on a complex Hilbert space.","PeriodicalId":38784,"journal":{"name":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Some inequalities for operator weighted geometric mean\",\"authors\":\"S. Dragomir\",\"doi\":\"10.31926/but.mif.2019.61.12.2.8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, by the use of some recent Young's type scalar inequalities we obtain some inequalities for the weighted geometric mean of two positive operators on a complex Hilbert space.\",\"PeriodicalId\":38784,\"journal\":{\"name\":\"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-01-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"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.2019.61.12.2.8\",\"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.2019.61.12.2.8","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
Some inequalities for operator weighted geometric mean
In this paper, by the use of some recent Young's type scalar inequalities we obtain some inequalities for the weighted geometric mean of two positive operators on a complex Hilbert space.