{"title":"论施瓦茨-戈彭高兹算子的某些性质","authors":"Eduardas Kirjackis","doi":"10.15388/lmr.2006.30569","DOIUrl":null,"url":null,"abstract":"The generalization of Schwarz’s derivative proposed by B.E. Gopengauz, which is applied to the study of the properties of the class of functions with nonvanishing in the unit circle divided difference of n-th order is examined.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"18 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On some properties of Schwartz–Gopengauz operator\",\"authors\":\"Eduardas Kirjackis\",\"doi\":\"10.15388/lmr.2006.30569\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The generalization of Schwarz’s derivative proposed by B.E. Gopengauz, which is applied to the study of the properties of the class of functions with nonvanishing in the unit circle divided difference of n-th order is examined.\",\"PeriodicalId\":33611,\"journal\":{\"name\":\"Lietuvos Matematikos Rinkinys\",\"volume\":\"18 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-09-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Lietuvos Matematikos Rinkinys\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.15388/lmr.2006.30569\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Lietuvos Matematikos Rinkinys","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15388/lmr.2006.30569","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
研究了 B.E. 戈彭高兹提出的施瓦茨导数的一般化,并将其应用于研究在单位圆内非消失的 n 阶分差函数类的性质。
The generalization of Schwarz’s derivative proposed by B.E. Gopengauz, which is applied to the study of the properties of the class of functions with nonvanishing in the unit circle divided difference of n-th order is examined.