A new class of 2m-point binary non-stationary subdivision schemes

Autor:	Abdul Ghaffar, Zafar Ullah, Mehwish Bari, Kottakkaran Sooppy Nisar, Maysaa M. Al-Qurashi, Dumitru Baleanu
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	Binary approximating schemes Convergence Shape preservation Curvature and torsion Lagrange polynomials Mathematics QA1-939
Zdroj:	Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-19 (2019)
Druh dokumentu:	article
ISSN:	1687-1847
DOI:	10.1186/s13662-019-2264-4
Popis:	Abstract A new class of 2m-point non-stationary subdivision schemes (SSs) is presented, including some of their important properties, such as continuity, curvature, torsion monotonicity, and convexity preservation. The multivariate analysis of subdivision schemes is extended to a class of non-stationary schemes which are asymptotically equivalent to converging stationary or non-stationary schemes. A comparison between the proposed schemes, their stationary counterparts and some existing non-stationary schemes has been depicted through examples. It is observed that the proposed SSs give better approximation and more effective results.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/197db91bd83a46fa8dd333422e52d0e0 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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