{"title":"A variant of the Fejér–Jackson inequality","authors":"H. Alzer, M. Kwong","doi":"10.1556/012.2019.56.4.1438","DOIUrl":null,"url":null,"abstract":"\n We prove: For all natural numbers n and real numbers x ∈ [0, π] we have .\n The sign of equality holds if and only if n = 2 and x = 4π/5.","PeriodicalId":51187,"journal":{"name":"Studia Scientiarum Mathematicarum Hungarica","volume":"154 1","pages":"500-509"},"PeriodicalIF":0.4000,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Studia Scientiarum Mathematicarum Hungarica","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1556/012.2019.56.4.1438","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
We prove: For all natural numbers n and real numbers x ∈ [0, π] we have .
The sign of equality holds if and only if n = 2 and x = 4π/5.
期刊介绍:
The journal publishes original research papers on various fields of mathematics, e.g., algebra, algebraic geometry, analysis, combinatorics, dynamical systems, geometry, mathematical logic, mathematical statistics, number theory, probability theory, set theory, statistical physics and topology.