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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Series: | Advances in Difference Equations |
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Online Access: | http://link.springer.com/article/10.1186/s13662-019-2264-4 |
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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 |
work_keys_str_mv |
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