A new kind of Durrmeyer-Stancu-type operators
The objective of this study is to examine a class of positive linear operators, defined in terms of the bψ,kλ,μ{b}_{\psi ,k}^{\lambda ,\mu } basis and to analyze their approximation properties. Direct estimates for the (λ,μ)\left(\lambda ,\mu )-Durrmeyer-Stancu-type operators are obtained using the...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2025-07-01
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| Series: | Demonstratio Mathematica |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/dema-2025-0132 |
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| Summary: | The objective of this study is to examine a class of positive linear operators, defined in terms of the bψ,kλ,μ{b}_{\psi ,k}^{\lambda ,\mu } basis and to analyze their approximation properties. Direct estimates for the (λ,μ)\left(\lambda ,\mu )-Durrmeyer-Stancu-type operators are obtained using the first modulus of continuity and in a certain Lipschitz-type space. Approximation properties of these operators in Lebesgue spaces are also given. Finally, illustrative graphics are provided to support the results and to compare the rate of convergence. |
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| ISSN: | 2391-4661 |