{"title":"一些动态估计在时间尺度上的创新","authors":"Deeba Afzal, Muhammad Jibril Shahab Sahir","doi":"10.31926/but.mif.2023.3.65.1.2","DOIUrl":null,"url":null,"abstract":"We establish fractional versions of generalizations of the Schweitzer, Kantorovich, Polya–Szego, Cassels, Greub–Rheinboldt, and reverse Minkowski inequalities on time scales. We present that fractional P´olya–Szego’s dynamic inequality generalizes Cassels’ inequality. Time scales calculus unifies and extends discrete, continuous, quantum versions of results.","PeriodicalId":53266,"journal":{"name":"Bulletin of the Transilvania University of Brasov Series V Economic Sciences","volume":"22 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Innovations of some dynamic estimates combined on time scales\",\"authors\":\"Deeba Afzal, Muhammad Jibril Shahab Sahir\",\"doi\":\"10.31926/but.mif.2023.3.65.1.2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We establish fractional versions of generalizations of the Schweitzer, Kantorovich, Polya–Szego, Cassels, Greub–Rheinboldt, and reverse Minkowski inequalities on time scales. We present that fractional P´olya–Szego’s dynamic inequality generalizes Cassels’ inequality. Time scales calculus unifies and extends discrete, continuous, quantum versions of results.\",\"PeriodicalId\":53266,\"journal\":{\"name\":\"Bulletin of the Transilvania University of Brasov Series V Economic Sciences\",\"volume\":\"22 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.2023.3.65.1.2\",\"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.2023.3.65.1.2","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Innovations of some dynamic estimates combined on time scales
We establish fractional versions of generalizations of the Schweitzer, Kantorovich, Polya–Szego, Cassels, Greub–Rheinboldt, and reverse Minkowski inequalities on time scales. We present that fractional P´olya–Szego’s dynamic inequality generalizes Cassels’ inequality. Time scales calculus unifies and extends discrete, continuous, quantum versions of results.