{"title":"S 节点、谱矩阵函数因式分解及相应不等式","authors":"Alexander Sakhnovich","doi":"10.1007/s11785-024-01567-5","DOIUrl":null,"url":null,"abstract":"<p>Using factorisation and Arov–Krein inequality results, we derive important inequalities (in terms of <i>S</i>-nodes) in interpolation problems.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"S-Nodes, Factorisation of Spectral Matrix Functions and Corresponding Inequalities\",\"authors\":\"Alexander Sakhnovich\",\"doi\":\"10.1007/s11785-024-01567-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Using factorisation and Arov–Krein inequality results, we derive important inequalities (in terms of <i>S</i>-nodes) in interpolation problems.</p>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s11785-024-01567-5\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11785-024-01567-5","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
利用因式分解和 Arov-Krein 不等式结果,我们推导出了插值问题中的重要不等式(以 S 节点为单位)。