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...

Full description

Bibliographic Details
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:
Online Access:http://link.springer.com/article/10.1186/s13662-019-2264-4
id doaj-197db91bd83a46fa8dd333422e52d0e0
record_format Article
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
work_keys_str_mv AT abdulghaffar anewclassof2mpointbinarynonstationarysubdivisionschemes
AT zafarullah anewclassof2mpointbinarynonstationarysubdivisionschemes
AT mehwishbari anewclassof2mpointbinarynonstationarysubdivisionschemes
AT kottakkaransooppynisar anewclassof2mpointbinarynonstationarysubdivisionschemes
AT maysaamalqurashi anewclassof2mpointbinarynonstationarysubdivisionschemes
AT dumitrubaleanu anewclassof2mpointbinarynonstationarysubdivisionschemes
AT abdulghaffar newclassof2mpointbinarynonstationarysubdivisionschemes
AT zafarullah newclassof2mpointbinarynonstationarysubdivisionschemes
AT mehwishbari newclassof2mpointbinarynonstationarysubdivisionschemes
AT kottakkaransooppynisar newclassof2mpointbinarynonstationarysubdivisionschemes
AT maysaamalqurashi newclassof2mpointbinarynonstationarysubdivisionschemes
AT dumitrubaleanu newclassof2mpointbinarynonstationarysubdivisionschemes
_version_ 1724637309358309376