{"title":"可三角域上连续函数的Bernstein多项式插值","authors":"A. S. Loginov","doi":"10.1070/SM1993V074N01ABEH003334","DOIUrl":null,"url":null,"abstract":"A refinement is given for a result of M. S. Bazelkov on the exact constant of interpolation of the class of continuous functions with a given convex majorant of the modulus of continuity by Bernstein polynomials.","PeriodicalId":208776,"journal":{"name":"Mathematics of The Ussr-sbornik","volume":"96 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1993-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"INTERPOLATION OF CONTINUOUS FUNCTIONS BY BERNSTEIN POLYNOMIALS ON TRIANGULABLE DOMAINS\",\"authors\":\"A. S. Loginov\",\"doi\":\"10.1070/SM1993V074N01ABEH003334\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A refinement is given for a result of M. S. Bazelkov on the exact constant of interpolation of the class of continuous functions with a given convex majorant of the modulus of continuity by Bernstein polynomials.\",\"PeriodicalId\":208776,\"journal\":{\"name\":\"Mathematics of The Ussr-sbornik\",\"volume\":\"96 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1993-02-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics of The Ussr-sbornik\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1070/SM1993V074N01ABEH003334\",\"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/SM1993V074N01ABEH003334","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
本文利用Bernstein多项式,对M. S. Bazelkov关于一类具有给定连续模凸主量的连续函数的精确插值常数的结果进行了改进。
INTERPOLATION OF CONTINUOUS FUNCTIONS BY BERNSTEIN POLYNOMIALS ON TRIANGULABLE DOMAINS
A refinement is given for a result of M. S. Bazelkov on the exact constant of interpolation of the class of continuous functions with a given convex majorant of the modulus of continuity by Bernstein polynomials.