Convergence of Generalized Lupaş-Durrmeyer Operators
The main aim of this paper is to establish summation-integral type generalized Lupaş operators with weights of Beta basis functions which depends on <inline-formula> <math display="inline"> <semantics> <mi>μ</mi> </semantics> </math> </inline-fo...
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| Format: | Article |
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MDPI AG
2020-05-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/5/852 |
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| author | Mohd Qasim Mohammad Mursaleen Asif Khan Zaheer Abbas |
| author_facet | Mohd Qasim Mohammad Mursaleen Asif Khan Zaheer Abbas |
| author_sort | Mohd Qasim |
| collection | DOAJ |
| description | The main aim of this paper is to establish summation-integral type generalized Lupaş operators with weights of Beta basis functions which depends on <inline-formula> <math display="inline"> <semantics> <mi>μ</mi> </semantics> </math> </inline-formula> having some properties. Primarily, for these new operators, we calculate moments and central moments, weighted approximation is discussed. Further, Voronovskaya type asymptotic theorem is proved. Finally, quantitative estimates for the local approximation is taken into consideration. |
| first_indexed | 2024-03-10T19:37:22Z |
| format | Article |
| id | doaj.art-1b783d1eaf1e4b2cb302f85c9845a063 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T19:37:22Z |
| publishDate | 2020-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-1b783d1eaf1e4b2cb302f85c9845a0632023-11-20T01:33:05ZengMDPI AGMathematics2227-73902020-05-018585210.3390/math8050852Convergence of Generalized Lupaş-Durrmeyer OperatorsMohd Qasim0Mohammad Mursaleen1Asif Khan2Zaheer Abbas3Department of Mathematical Sciences, Baba Ghulam Shah Badshah University, Rajouri 185234, Jammu and Kashmir, IndiaDepartment of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, TaiwanDepartment of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaDepartment of Mathematical Sciences, Baba Ghulam Shah Badshah University, Rajouri 185234, Jammu and Kashmir, IndiaThe main aim of this paper is to establish summation-integral type generalized Lupaş operators with weights of Beta basis functions which depends on <inline-formula> <math display="inline"> <semantics> <mi>μ</mi> </semantics> </math> </inline-formula> having some properties. Primarily, for these new operators, we calculate moments and central moments, weighted approximation is discussed. Further, Voronovskaya type asymptotic theorem is proved. Finally, quantitative estimates for the local approximation is taken into consideration.https://www.mdpi.com/2227-7390/8/5/852generalized Lupaş operatorsBeta functionKorovkin’s type theoremconvergence theoremsVoronovskaya type theorem |
| spellingShingle | Mohd Qasim Mohammad Mursaleen Asif Khan Zaheer Abbas Convergence of Generalized Lupaş-Durrmeyer Operators Mathematics generalized Lupaş operators Beta function Korovkin’s type theorem convergence theorems Voronovskaya type theorem |
| title | Convergence of Generalized Lupaş-Durrmeyer Operators |
| title_full | Convergence of Generalized Lupaş-Durrmeyer Operators |
| title_fullStr | Convergence of Generalized Lupaş-Durrmeyer Operators |
| title_full_unstemmed | Convergence of Generalized Lupaş-Durrmeyer Operators |
| title_short | Convergence of Generalized Lupaş-Durrmeyer Operators |
| title_sort | convergence of generalized lupas durrmeyer operators |
| topic | generalized Lupaş operators Beta function Korovkin’s type theorem convergence theorems Voronovskaya type theorem |
| url | https://www.mdpi.com/2227-7390/8/5/852 |
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