Gamma variant of (p, q) -Bernstein type novel operators
In this paper, we are concerned with a new modification of the well-known (p;q)-Bernstein novel type operators with the gamma integral functions. The direct results demonstrate several aspects of approximations. Such as the rate of convergence theorem using Peetre's K-functional and Korovkin�...
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| Format: | Article |
| Language: | English |
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University of Mohaghegh Ardabili
2025-06-01
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| Series: | Journal of Hyperstructures |
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| Online Access: | https://jhs.uma.ac.ir/article_3720_70457ef714f9ec3843e5b41c9ade0658.pdf |
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| author | Narendra Kurre |
| author_facet | Narendra Kurre |
| author_sort | Narendra Kurre |
| collection | DOAJ |
| description | In this paper, we are concerned with a new modification of the well-known (p;q)-Bernstein novel type operators with the gamma integral functions. The direct results demonstrate several aspects of approximations. Such as the rate of convergence theorem using Peetre's K-functional and Korovkin's theorem, which also validates the well-known Voronovskaja's theorem and the convergence theorem for Lipschitz continuous functions. |
| format | Article |
| id | doaj-art-2bf3a46c13014fa79ffe51ca246ac57d |
| institution | Kabale University |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-2bf3a46c13014fa79ffe51ca246ac57d2025-08-20T03:50:05ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662025-06-0114110611810.22098/jhs.2025.15717.10403720Gamma variant of (p, q) -Bernstein type novel operatorsNarendra Kurre0Department of Mathematics, Government Bilasa college Bilaspur Chhattisgarh IndiaIn this paper, we are concerned with a new modification of the well-known (p;q)-Bernstein novel type operators with the gamma integral functions. The direct results demonstrate several aspects of approximations. Such as the rate of convergence theorem using Peetre's K-functional and Korovkin's theorem, which also validates the well-known Voronovskaja's theorem and the convergence theorem for Lipschitz continuous functions.https://jhs.uma.ac.ir/article_3720_70457ef714f9ec3843e5b41c9ade0658.pdfbernstein operators(pq) bernstein operatorsrate of convergencevoronovskja theorem |
| spellingShingle | Narendra Kurre Gamma variant of (p, q) -Bernstein type novel operators Journal of Hyperstructures bernstein operators (p q) bernstein operators rate of convergence voronovskja theorem |
| title | Gamma variant of (p, q) -Bernstein type novel operators |
| title_full | Gamma variant of (p, q) -Bernstein type novel operators |
| title_fullStr | Gamma variant of (p, q) -Bernstein type novel operators |
| title_full_unstemmed | Gamma variant of (p, q) -Bernstein type novel operators |
| title_short | Gamma variant of (p, q) -Bernstein type novel operators |
| title_sort | gamma variant of p q bernstein type novel operators |
| topic | bernstein operators (p q) bernstein operators rate of convergence voronovskja theorem |
| url | https://jhs.uma.ac.ir/article_3720_70457ef714f9ec3843e5b41c9ade0658.pdf |
| work_keys_str_mv | AT narendrakurre gammavariantofpqbernsteintypenoveloperators |