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:	Zhang Zeze, Zheng Hongchan, Pan Lulu
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	non-stationary combined ternary scheme exponential polynomial generation/reproduction approximation order smoothness 65d17 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/9cfa3a1fbdf24dacb87f5ac5651776d9
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spelling	oai:doaj.org-article:9cfa3a1fbdf24dacb87f5ac5651776d92021-12-05T14:10:53ZConstruction of a family of non-stationary combined ternary subdivision schemes reproducing exponential polynomials2391-545510.1515/math-2021-0058https://doaj.org/article/9cfa3a1fbdf24dacb87f5ac5651776d92021-08-01T00:00:00Zhttps://doi.org/10.1515/math-2021-0058https://doaj.org/toc/2391-5455In 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.Zhang ZezeZheng HongchanPan LuluDe Gruyterarticlenon-stationary combined ternary schemeexponential polynomial generation/reproductionapproximation ordersmoothness65d17MathematicsQA1-939ENOpen Mathematics, Vol 19, Iss 1, Pp 909-926 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	non-stationary combined ternary scheme exponential polynomial generation/reproduction approximation order smoothness 65d17 Mathematics QA1-939
spellingShingle	non-stationary combined ternary scheme exponential polynomial generation/reproduction approximation order smoothness 65d17 Mathematics QA1-939 Zhang Zeze Zheng Hongchan Pan Lulu Construction of a family of non-stationary combined ternary subdivision schemes reproducing exponential polynomials
description	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.
format	article
author	Zhang Zeze Zheng Hongchan Pan Lulu
author_facet	Zhang Zeze Zheng Hongchan Pan Lulu
author_sort	Zhang Zeze
title	Construction of a family of non-stationary combined ternary subdivision schemes reproducing exponential polynomials
title_short	Construction of a family of non-stationary combined ternary subdivision schemes reproducing exponential polynomials
title_full	Construction of a family of non-stationary combined ternary subdivision schemes reproducing exponential polynomials
title_fullStr	Construction of a family of non-stationary combined ternary subdivision schemes reproducing exponential polynomials
title_full_unstemmed	Construction of a family of non-stationary combined ternary subdivision schemes reproducing exponential polynomials
title_sort	construction of a family of non-stationary combined ternary subdivision schemes reproducing exponential polynomials
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/9cfa3a1fbdf24dacb87f5ac5651776d9
work_keys_str_mv	AT zhangzeze constructionofafamilyofnonstationarycombinedternarysubdivisionschemesreproducingexponentialpolynomials AT zhenghongchan constructionofafamilyofnonstationarycombinedternarysubdivisionschemesreproducingexponentialpolynomials AT panlulu constructionofafamilyofnonstationarycombinedternarysubdivisionschemesreproducingexponentialpolynomials
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Construction of a family of non-stationary combined ternary subdivision schemes reproducing exponential polynomials

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