{"title":"半指数Szász-Mirakyan-Kantorovich算子的近似性质","authors":"Gunjan Agrawal, Vijay Gupta","doi":"10.2298/fil2304097a","DOIUrl":null,"url":null,"abstract":"In the present paper, we deal with the approximation properties of semi-exponential Sz?sz-Mirakyan-Kantorovich operators. Here, we establish the relation between semi-exponential Sz?sz-Mirakyan operators and its Kantorovich variant. Further, we propose the modification of the Kantorovich variant so as to preserve the test functions eAx and e2Ax and we derive the Voronovskaya-type result.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Approximation properties of semi-exponential Szász-Mirakyan-Kantorovich operators\",\"authors\":\"Gunjan Agrawal, Vijay Gupta\",\"doi\":\"10.2298/fil2304097a\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the present paper, we deal with the approximation properties of semi-exponential Sz?sz-Mirakyan-Kantorovich operators. Here, we establish the relation between semi-exponential Sz?sz-Mirakyan operators and its Kantorovich variant. Further, we propose the modification of the Kantorovich variant so as to preserve the test functions eAx and e2Ax and we derive the Voronovskaya-type result.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.2298/fil2304097a\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2298/fil2304097a","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Approximation properties of semi-exponential Szász-Mirakyan-Kantorovich operators
In the present paper, we deal with the approximation properties of semi-exponential Sz?sz-Mirakyan-Kantorovich operators. Here, we establish the relation between semi-exponential Sz?sz-Mirakyan operators and its Kantorovich variant. Further, we propose the modification of the Kantorovich variant so as to preserve the test functions eAx and e2Ax and we derive the Voronovskaya-type result.