The inequalities for the analysis of a class of ternary refinement schemes

The ternary refinement schemes are the generalized version of the binary refinement schemes. This class of the schemes produce the smooth curves with the less number of refinement steps as compared to the binary class of schemes. In this paper, we present the inequalities for the analysis of a class...

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Main Authors:	Ghulam Mustafa, Syeda Tehmina Ejaz, Dumitru Baleanu, Yu-Ming Chu
Format:	Article
Language:	English
Published:	AIMS Press 2020-09-01
Series:	AIMS Mathematics
Subjects:	refinement scheme binary ternary analysis continuity inequalities
Online Access:	https://www.aimspress.com/article/10.3934/math.2020485/fulltext.html

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spelling	doaj-6fbc061617e44090b4d1deb40cb717732020-11-25T02:49:32ZengAIMS PressAIMS Mathematics2473-69882020-09-01567582760410.3934/math.2020485The inequalities for the analysis of a class of ternary refinement schemesGhulam Mustafa0Syeda Tehmina Ejaz1Dumitru Baleanu2Yu-Ming Chu31 Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan2 Department of Mathematics, The Government Sadiq College Women University Bahawalpur, Bahawalpur 63100, Pakistan3 Department of Mathematics, Cankaya University, Ankara 06530, Turkey 4 Institute of Space Sciences, 077125 Magurele-Bucharest, Romania 5 Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan6 Department of Mathematics, Huzhou University, Huzhou 313000, P. R. China 7 Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology, Changsha 410114, P. R. ChinaThe ternary refinement schemes are the generalized version of the binary refinement schemes. This class of the schemes produce the smooth curves with the less number of refinement steps as compared to the binary class of schemes. In this paper, we present the inequalities for the analysis of a class of ternary refinement schemes. There are three simple algebraic expressions in each inequality. Further these algebraic expressions contain only the coefficients used in the refinement rules of the ternary schemes.https://www.aimspress.com/article/10.3934/math.2020485/fulltext.htmlrefinement schemebinaryternaryanalysiscontinuityinequalities
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Ghulam Mustafa Syeda Tehmina Ejaz Dumitru Baleanu Yu-Ming Chu
spellingShingle	Ghulam Mustafa Syeda Tehmina Ejaz Dumitru Baleanu Yu-Ming Chu The inequalities for the analysis of a class of ternary refinement schemes AIMS Mathematics refinement scheme binary ternary analysis continuity inequalities
author_facet	Ghulam Mustafa Syeda Tehmina Ejaz Dumitru Baleanu Yu-Ming Chu
author_sort	Ghulam Mustafa
title	The inequalities for the analysis of a class of ternary refinement schemes
title_short	The inequalities for the analysis of a class of ternary refinement schemes
title_full	The inequalities for the analysis of a class of ternary refinement schemes
title_fullStr	The inequalities for the analysis of a class of ternary refinement schemes
title_full_unstemmed	The inequalities for the analysis of a class of ternary refinement schemes
title_sort	inequalities for the analysis of a class of ternary refinement schemes
publisher	AIMS Press
series	AIMS Mathematics
issn	2473-6988
publishDate	2020-09-01
description	The ternary refinement schemes are the generalized version of the binary refinement schemes. This class of the schemes produce the smooth curves with the less number of refinement steps as compared to the binary class of schemes. In this paper, we present the inequalities for the analysis of a class of ternary refinement schemes. There are three simple algebraic expressions in each inequality. Further these algebraic expressions contain only the coefficients used in the refinement rules of the ternary schemes.
topic	refinement scheme binary ternary analysis continuity inequalities
url	https://www.aimspress.com/article/10.3934/math.2020485/fulltext.html
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The inequalities for the analysis of a class of ternary refinement schemes

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