Chlodowsky-type Szász operators via Boas–Buck-type polynomials and some approximation properties
Abstract In this paper, we construct the Chlodowsky-type Szász operators defined via Boas–Buck-type polynomials. We prove some approximation properties and obtain the rate of the convergence for these operators. We also study the Voronovskaya-type theorem and weighted approximation.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-07-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-023-03007-y |
| _version_ | 1797769292852232192 |
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| author | Naim L. Braha Valdete Loku M. Mursaleen |
| author_facet | Naim L. Braha Valdete Loku M. Mursaleen |
| author_sort | Naim L. Braha |
| collection | DOAJ |
| description | Abstract In this paper, we construct the Chlodowsky-type Szász operators defined via Boas–Buck-type polynomials. We prove some approximation properties and obtain the rate of the convergence for these operators. We also study the Voronovskaya-type theorem and weighted approximation. |
| first_indexed | 2024-03-12T21:05:51Z |
| format | Article |
| id | doaj.art-3d64b5dfe2bc41298163b168d6436048 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-03-12T21:05:51Z |
| publishDate | 2023-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-3d64b5dfe2bc41298163b168d64360482023-07-30T11:26:58ZengSpringerOpenJournal of Inequalities and Applications1029-242X2023-07-012023112310.1186/s13660-023-03007-yChlodowsky-type Szász operators via Boas–Buck-type polynomials and some approximation propertiesNaim L. Braha0Valdete Loku1M. Mursaleen2Ilirias Research InstituteUniversity of Applied SciencesDepartment of Medical Research, China Medical University Hospital, China Medical University (Taiwan)Abstract In this paper, we construct the Chlodowsky-type Szász operators defined via Boas–Buck-type polynomials. We prove some approximation properties and obtain the rate of the convergence for these operators. We also study the Voronovskaya-type theorem and weighted approximation.https://doi.org/10.1186/s13660-023-03007-yChlodowsky-type Szász operatorsBoas–Buck-type polynomialsBounded variationKorovkin-type theoremVoronovskaya-type theoremGrüss–Vornovskaya-type theorem |
| spellingShingle | Naim L. Braha Valdete Loku M. Mursaleen Chlodowsky-type Szász operators via Boas–Buck-type polynomials and some approximation properties Journal of Inequalities and Applications Chlodowsky-type Szász operators Boas–Buck-type polynomials Bounded variation Korovkin-type theorem Voronovskaya-type theorem Grüss–Vornovskaya-type theorem |
| title | Chlodowsky-type Szász operators via Boas–Buck-type polynomials and some approximation properties |
| title_full | Chlodowsky-type Szász operators via Boas–Buck-type polynomials and some approximation properties |
| title_fullStr | Chlodowsky-type Szász operators via Boas–Buck-type polynomials and some approximation properties |
| title_full_unstemmed | Chlodowsky-type Szász operators via Boas–Buck-type polynomials and some approximation properties |
| title_short | Chlodowsky-type Szász operators via Boas–Buck-type polynomials and some approximation properties |
| title_sort | chlodowsky type szasz operators via boas buck type polynomials and some approximation properties |
| topic | Chlodowsky-type Szász operators Boas–Buck-type polynomials Bounded variation Korovkin-type theorem Voronovskaya-type theorem Grüss–Vornovskaya-type theorem |
| url | https://doi.org/10.1186/s13660-023-03007-y |
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