Approximation by modified ( p , q ) $(p,q)$ -gamma-type operators
Abstract The main object of this paper is to construct a new class of modified ( p , q ) $(p,q)$ -Gamma-type operators. For this new class of operators, in section one, the general moments are find; in section two, the Korovkin-type theorem and some direct results are proved by considering the modul...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-03-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | https://doi.org/10.1186/s13660-024-03109-1 |
| _version_ | 1797246959493316608 |
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| author | Naim Latif Braha |
| author_facet | Naim Latif Braha |
| author_sort | Naim Latif Braha |
| collection | DOAJ |
| description | Abstract The main object of this paper is to construct a new class of modified ( p , q ) $(p,q)$ -Gamma-type operators. For this new class of operators, in section one, the general moments are find; in section two, the Korovkin-type theorem and some direct results are proved by considering the modulus of continuity and modulus of smoothness and their behavior in Lipschitz-type spaces. In section three, some results in the weighted spaces are given, and in the end, some shape-preserving properties are proven. |
| first_indexed | 2024-04-24T19:51:05Z |
| format | Article |
| id | doaj.art-d304b970ac8e4fdfb41d83dc455ed2a8 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-04-24T19:51:05Z |
| publishDate | 2024-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-d304b970ac8e4fdfb41d83dc455ed2a82024-03-24T12:37:03ZengSpringerOpenJournal of Inequalities and Applications1029-242X2024-03-012024111910.1186/s13660-024-03109-1Approximation by modified ( p , q ) $(p,q)$ -gamma-type operatorsNaim Latif Braha0Department of Mathematics and Computer Sciences, University of PrishtinaAbstract The main object of this paper is to construct a new class of modified ( p , q ) $(p,q)$ -Gamma-type operators. For this new class of operators, in section one, the general moments are find; in section two, the Korovkin-type theorem and some direct results are proved by considering the modulus of continuity and modulus of smoothness and their behavior in Lipschitz-type spaces. In section three, some results in the weighted spaces are given, and in the end, some shape-preserving properties are proven.https://doi.org/10.1186/s13660-024-03109-1Modified ( p , q ) $(p,q)$ -Gamma-type operatorsModulus of continuityShape-preserving approximation |
| spellingShingle | Naim Latif Braha Approximation by modified ( p , q ) $(p,q)$ -gamma-type operators Journal of Inequalities and Applications Modified ( p , q ) $(p,q)$ -Gamma-type operators Modulus of continuity Shape-preserving approximation |
| title | Approximation by modified ( p , q ) $(p,q)$ -gamma-type operators |
| title_full | Approximation by modified ( p , q ) $(p,q)$ -gamma-type operators |
| title_fullStr | Approximation by modified ( p , q ) $(p,q)$ -gamma-type operators |
| title_full_unstemmed | Approximation by modified ( p , q ) $(p,q)$ -gamma-type operators |
| title_short | Approximation by modified ( p , q ) $(p,q)$ -gamma-type operators |
| title_sort | approximation by modified p q p q gamma type operators |
| topic | Modified ( p , q ) $(p,q)$ -Gamma-type operators Modulus of continuity Shape-preserving approximation |
| url | https://doi.org/10.1186/s13660-024-03109-1 |
| work_keys_str_mv | AT naimlatifbraha approximationbymodifiedpqpqgammatypeoperators |