{"title":"伯恩斯坦多项式和对偶函数","authors":"A.-M. Acu, G. Motronea, I. Rasa","doi":"10.31926/but.mif.2023.3.65.2.2","DOIUrl":null,"url":null,"abstract":"The divided differences of Bernstein polynomials were investigated by Alexandru Lupas in 1995. We extend the results of that investigation. Moreover, we establish new relations between them and the theory of dual functionals.","PeriodicalId":505295,"journal":{"name":"Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science","volume":"107 ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Bernstein polynomials and dual functionals\",\"authors\":\"A.-M. Acu, G. Motronea, I. Rasa\",\"doi\":\"10.31926/but.mif.2023.3.65.2.2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The divided differences of Bernstein polynomials were investigated by Alexandru Lupas in 1995. We extend the results of that investigation. Moreover, we establish new relations between them and the theory of dual functionals.\",\"PeriodicalId\":505295,\"journal\":{\"name\":\"Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science\",\"volume\":\"107 \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-12-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31926/but.mif.2023.3.65.2.2\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31926/but.mif.2023.3.65.2.2","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The divided differences of Bernstein polynomials were investigated by Alexandru Lupas in 1995. We extend the results of that investigation. Moreover, we establish new relations between them and the theory of dual functionals.