{"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}
引用次数: 0
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.
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