{"title":"gupta - pourltalnea算子的近似","authors":"P. N. Agrawal, Arun Kajla, Dharmendra Kumar","doi":"10.1007/s13370-025-01336-3","DOIUrl":null,"url":null,"abstract":"<div><p>We investigate the approximation degree of a general class of positive linear operators introduced by Gupta (RACSAM 113:3717–3725, 2019) by means of the modulus of continuity, Steklov mean and Voronovskaya type theorem. Some approximation results concerning the weighted approximation are also discussed. Lastly, the approximation of functions with derivatives of bounded variation is considered.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 3","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2025-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Approximation by Gupta–Păltănea operators\",\"authors\":\"P. N. Agrawal, Arun Kajla, Dharmendra Kumar\",\"doi\":\"10.1007/s13370-025-01336-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We investigate the approximation degree of a general class of positive linear operators introduced by Gupta (RACSAM 113:3717–3725, 2019) by means of the modulus of continuity, Steklov mean and Voronovskaya type theorem. Some approximation results concerning the weighted approximation are also discussed. Lastly, the approximation of functions with derivatives of bounded variation is considered.</p></div>\",\"PeriodicalId\":46107,\"journal\":{\"name\":\"Afrika Matematika\",\"volume\":\"36 3\",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2025-06-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Afrika Matematika\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s13370-025-01336-3\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Afrika Matematika","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s13370-025-01336-3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
We investigate the approximation degree of a general class of positive linear operators introduced by Gupta (RACSAM 113:3717–3725, 2019) by means of the modulus of continuity, Steklov mean and Voronovskaya type theorem. Some approximation results concerning the weighted approximation are also discussed. Lastly, the approximation of functions with derivatives of bounded variation is considered.
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