{"title":"逆storm - liouville问题中的多点padÉ近似","authors":"A. Gonchar, N. Novikova, G. Khenkin","doi":"10.1070/SM1992V073N02ABEH002557","DOIUrl":null,"url":null,"abstract":"A study is made of approximate solutions of the inverse Sturm-Liouville problem, based on a construction of multipoint Pade approximants. Corresponding convergence theorems are proved.","PeriodicalId":208776,"journal":{"name":"Mathematics of The Ussr-sbornik","volume":"25 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"13","resultStr":"{\"title\":\"MULTIPOINT PADÉ APPROXIMANTS IN THE INVERSE STURM-LIOUVILLE PROBLEM\",\"authors\":\"A. Gonchar, N. Novikova, G. Khenkin\",\"doi\":\"10.1070/SM1992V073N02ABEH002557\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A study is made of approximate solutions of the inverse Sturm-Liouville problem, based on a construction of multipoint Pade approximants. Corresponding convergence theorems are proved.\",\"PeriodicalId\":208776,\"journal\":{\"name\":\"Mathematics of The Ussr-sbornik\",\"volume\":\"25 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1992-02-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"13\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics of The Ussr-sbornik\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1070/SM1992V073N02ABEH002557\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-sbornik","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/SM1992V073N02ABEH002557","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
MULTIPOINT PADÉ APPROXIMANTS IN THE INVERSE STURM-LIOUVILLE PROBLEM
A study is made of approximate solutions of the inverse Sturm-Liouville problem, based on a construction of multipoint Pade approximants. Corresponding convergence theorems are proved.
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