{"title":"关于α- baskakov - durmeyer型算子的注记","authors":"Jaspreet Kaur, Meenu Goyal","doi":"10.1216/rmj.2023.53.1511","DOIUrl":null,"url":null,"abstract":"We give the generalization of α-Baskakov Durrmeyer operators depending on a real parameter ρ>0. We present the approximation results in Korovkin and weighted Korovkin spaces. We also prove the order of approximation and rate of approximation for these operators. In the end, we verify our results with the help of numerical examples by using Mathematica.","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":"14 1","pages":"0"},"PeriodicalIF":0.7000,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A NOTE ON α-BASKAKOV–DURRMEYER-TYPE OPERATORS\",\"authors\":\"Jaspreet Kaur, Meenu Goyal\",\"doi\":\"10.1216/rmj.2023.53.1511\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We give the generalization of α-Baskakov Durrmeyer operators depending on a real parameter ρ>0. We present the approximation results in Korovkin and weighted Korovkin spaces. We also prove the order of approximation and rate of approximation for these operators. In the end, we verify our results with the help of numerical examples by using Mathematica.\",\"PeriodicalId\":49591,\"journal\":{\"name\":\"Rocky Mountain Journal of Mathematics\",\"volume\":\"14 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2023-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Rocky Mountain Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1216/rmj.2023.53.1511\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Rocky Mountain Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1216/rmj.2023.53.1511","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
We give the generalization of α-Baskakov Durrmeyer operators depending on a real parameter ρ>0. We present the approximation results in Korovkin and weighted Korovkin spaces. We also prove the order of approximation and rate of approximation for these operators. In the end, we verify our results with the help of numerical examples by using Mathematica.
期刊介绍：
Rocky Mountain Journal of Mathematics publishes both research and expository articles in mathematics, and particularly invites well-written survey articles.
The Rocky Mountain Journal of Mathematics endeavors to publish significant research papers and substantial expository/survey papers in a broad range of theoretical and applied areas of mathematics. For this reason the editorial board is broadly based and submissions are accepted in most areas of mathematics.
In addition, the journal publishes specialized conference proceedings.
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