Construction of a family of non-stationary combined ternary subdivision schemes reproducing exponential polynomials
In this paper, we propose a family of non-stationary combined ternary (2m+3)\left(2m+3)-point subdivision schemes, which possesses the property of generating/reproducing high-order exponential polynomials. This scheme is obtained by adding variable parameters on the generalized ternary subdivision s...
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| Autores principales: | , , |
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| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
De Gruyter
2021
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/9cfa3a1fbdf24dacb87f5ac5651776d9 |
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| Sumario: | In this paper, we propose a family of non-stationary combined ternary (2m+3)\left(2m+3)-point subdivision schemes, which possesses the property of generating/reproducing high-order exponential polynomials. This scheme is obtained by adding variable parameters on the generalized ternary subdivision scheme of order 4. For such a scheme, we investigate its support and exponential polynomial generation/reproduction and get that it can generate/reproduce certain exponential polynomials with suitable choices of the parameters and reach 2m+32m+3 approximation order. Moreover, we discuss its smoothness and show that it can produce C2m+2{C}^{2m+2} limit curves. Several numerical examples are given to show the performance of the schemes. |
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