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

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-statio...

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Main Authors:	Abdul Ghaffar, Zafar Ullah, Mehwish Bari, Kottakkaran Sooppy Nisar, Maysaa M. Al-Qurashi, Dumitru Baleanu
Format:	Article
Language:	English
Published:	SpringerOpen 2019-08-01
Series:	Advances in Difference Equations
Subjects:	Binary approximating schemes Convergence Shape preservation Curvature and torsion Lagrange polynomials
Online Access:	http://link.springer.com/article/10.1186/s13662-019-2264-4

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spelling	doaj-197db91bd83a46fa8dd333422e52d0e02020-11-25T03:15:49ZengSpringerOpenAdvances in Difference Equations1687-18472019-08-012019111910.1186/s13662-019-2264-4A new class of 2m-point binary non-stationary subdivision schemesAbdul Ghaffar0Zafar Ullah1Mehwish Bari2Kottakkaran Sooppy Nisar3Maysaa M. Al-Qurashi4Dumitru Baleanu5Department of Mathematical Science, BUITEMSDepartment of Mathematics, Division of Science and Technology, University of EducationDepartment of Mathematics, NCBA&EDepartment of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz UniversityDepartment of Mathematics, King Saud UniversityDepartment of Mathematics, Cankaya UniversityAbstract 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.http://link.springer.com/article/10.1186/s13662-019-2264-4Binary approximating schemesConvergenceShape preservationCurvature and torsionLagrange polynomials
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Abdul Ghaffar Zafar Ullah Mehwish Bari Kottakkaran Sooppy Nisar Maysaa M. Al-Qurashi Dumitru Baleanu
spellingShingle	Abdul Ghaffar Zafar Ullah Mehwish Bari Kottakkaran Sooppy Nisar Maysaa M. Al-Qurashi Dumitru Baleanu A new class of 2m-point binary non-stationary subdivision schemes Advances in Difference Equations Binary approximating schemes Convergence Shape preservation Curvature and torsion Lagrange polynomials
author_facet	Abdul Ghaffar Zafar Ullah Mehwish Bari Kottakkaran Sooppy Nisar Maysaa M. Al-Qurashi Dumitru Baleanu
author_sort	Abdul Ghaffar
title	A new class of 2m-point binary non-stationary subdivision schemes
title_short	A new class of 2m-point binary non-stationary subdivision schemes
title_full	A new class of 2m-point binary non-stationary subdivision schemes
title_fullStr	A new class of 2m-point binary non-stationary subdivision schemes
title_full_unstemmed	A new class of 2m-point binary non-stationary subdivision schemes
title_sort	new class of 2m-point binary non-stationary subdivision schemes
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1847
publishDate	2019-08-01
description	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.
topic	Binary approximating schemes Convergence Shape preservation Curvature and torsion Lagrange polynomials
url	http://link.springer.com/article/10.1186/s13662-019-2264-4
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A new class of 2m-point binary non-stationary subdivision schemes

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