{"title":"有限制零点的多项式的 L^r 不等式","authors":"Singhajit Mayanglambam, M. S. Singh, B. Chanam","doi":"10.56947/amcs.v21.258","DOIUrl":null,"url":null,"abstract":"If p(z) is a polynomial of degree n having no zero in |z|1, then Govil and Rahman [10] extended Malik's inequality [13] into Lr version. In this paper, we prove improved and generalized versions of the above inequality.","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"52 2","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"L^r inequalities for polynomials with restricted zeros\",\"authors\":\"Singhajit Mayanglambam, M. S. Singh, B. Chanam\",\"doi\":\"10.56947/amcs.v21.258\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"If p(z) is a polynomial of degree n having no zero in |z|1, then Govil and Rahman [10] extended Malik's inequality [13] into Lr version. In this paper, we prove improved and generalized versions of the above inequality.\",\"PeriodicalId\":504658,\"journal\":{\"name\":\"Annals of Mathematics and Computer Science\",\"volume\":\"52 2\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-02-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annals of Mathematics and Computer Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.56947/amcs.v21.258\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Mathematics and Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56947/amcs.v21.258","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
如果 p(z) 是 |z|1 中没有零点的 n 阶多项式,那么 Govil 和 Rahman [10] 将 Malik 不等式 [13] 扩展为 Lr 版本。本文将证明上述不等式的改进版和广义版。
L^r inequalities for polynomials with restricted zeros
If p(z) is a polynomial of degree n having no zero in |z|1, then Govil and Rahman [10] extended Malik's inequality [13] into Lr version. In this paper, we prove improved and generalized versions of the above inequality.