Approximation Properties of a New Class of Beta-Type Szász–Mirakjan Operators
We use the new variant of Szász–Mirakjan operators to construct a generalized version of Szász-beta type operators and obtain auxiliary lemmas. We present the weighted approximation theorems and, by using Peetre’s K-function, the local approximation results of these operators are studied. We also an...
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| Format: | Article |
| Language: | English |
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Wiley
2025-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/jom/6680828 |
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| author | Md. Nasiruzzaman Rubayyi T. Alqahtani S. A. Mohiuddine |
| author_facet | Md. Nasiruzzaman Rubayyi T. Alqahtani S. A. Mohiuddine |
| author_sort | Md. Nasiruzzaman |
| collection | DOAJ |
| description | We use the new variant of Szász–Mirakjan operators to construct a generalized version of Szász-beta type operators and obtain auxiliary lemmas. We present the weighted approximation theorems and, by using Peetre’s K-function, the local approximation results of these operators are studied. We also analyze the rate of convergence by utilizing Lipschitz-type maximal functions and the ordinary modulus of continuity. Moreover, using aforesaid operators, we finally examine the Voronovskaya-type theorem. |
| format | Article |
| id | doaj-art-238be269d32f4b9095371371caff1bf4 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-238be269d32f4b9095371371caff1bf42025-08-20T03:32:55ZengWileyJournal of Mathematics2314-47852025-01-01202510.1155/jom/6680828Approximation Properties of a New Class of Beta-Type Szász–Mirakjan OperatorsMd. Nasiruzzaman0Rubayyi T. Alqahtani1S. A. Mohiuddine2Department of MathematicsDepartment of Mathematics and StatisticsDepartment of General Required Courses, MathematicsWe use the new variant of Szász–Mirakjan operators to construct a generalized version of Szász-beta type operators and obtain auxiliary lemmas. We present the weighted approximation theorems and, by using Peetre’s K-function, the local approximation results of these operators are studied. We also analyze the rate of convergence by utilizing Lipschitz-type maximal functions and the ordinary modulus of continuity. Moreover, using aforesaid operators, we finally examine the Voronovskaya-type theorem.http://dx.doi.org/10.1155/jom/6680828 |
| spellingShingle | Md. Nasiruzzaman Rubayyi T. Alqahtani S. A. Mohiuddine Approximation Properties of a New Class of Beta-Type Szász–Mirakjan Operators Journal of Mathematics |
| title | Approximation Properties of a New Class of Beta-Type Szász–Mirakjan Operators |
| title_full | Approximation Properties of a New Class of Beta-Type Szász–Mirakjan Operators |
| title_fullStr | Approximation Properties of a New Class of Beta-Type Szász–Mirakjan Operators |
| title_full_unstemmed | Approximation Properties of a New Class of Beta-Type Szász–Mirakjan Operators |
| title_short | Approximation Properties of a New Class of Beta-Type Szász–Mirakjan Operators |
| title_sort | approximation properties of a new class of beta type szasz mirakjan operators |
| url | http://dx.doi.org/10.1155/jom/6680828 |
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