{"title":"关于最小$$$(\\ α;\\beta)$$$-加权空间$$$L_p$$$ $偏离零","authors":"O. V. Polyakov","doi":"10.15421/241810","DOIUrl":null,"url":null,"abstract":"We prove the property of monotonity of zeros of polynomials of the least $$$(\\alpha; \\beta)$$$-deviation from zero in the space with integral metrics with weight.","PeriodicalId":339757,"journal":{"name":"Dnipro University Mathematics Bulletin","volume":"352 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On one property of zeros of polynomials of the least $$$(\\\\alpha; \\\\beta)$$$-deviation from zero in weighted space $$$L_p$$$\",\"authors\":\"O. V. Polyakov\",\"doi\":\"10.15421/241810\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We prove the property of monotonity of zeros of polynomials of the least $$$(\\\\alpha; \\\\beta)$$$-deviation from zero in the space with integral metrics with weight.\",\"PeriodicalId\":339757,\"journal\":{\"name\":\"Dnipro University Mathematics Bulletin\",\"volume\":\"352 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-06-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Dnipro University Mathematics Bulletin\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.15421/241810\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Dnipro University Mathematics Bulletin","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15421/241810","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On one property of zeros of polynomials of the least $$$(\alpha; \beta)$$$-deviation from zero in weighted space $$$L_p$$$
We prove the property of monotonity of zeros of polynomials of the least $$$(\alpha; \beta)$$$-deviation from zero in the space with integral metrics with weight.