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...
| Published in: | Journal of Inequalities and Applications |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-03-01
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| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-024-03109-1 |
| Summary: | 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. |
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| ISSN: | 1029-242X |