The Inequalities for the Analysis of a Class of Ternary Refinement Schemes
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Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Amer inst Mathematical Sciences-aims
Open Access Color
GOLD
Green Open Access
No
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Abstract
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.
Description
Mustafa, Ghulam/0000-0002-0441-8485
ORCID
Keywords
Refinement Scheme, Binary, Ternary, Analysis, Continuity, Inequalities, Artificial intelligence, Class (philosophy), analysis, Ternary operation, Mesh Refinement, Kinematic and Dynamic Analysis of Robot Manipulators, binary, Computational Mechanics, ternary, Mathematical analysis, Engineering, inequalities, QA1-939, FOS: Mathematics, Isogeometric Analysis in Computational Engineering, Algebra over a field, Mathematical economics, Pure mathematics, Mesh Generation Algorithms, refinement scheme, Applied mathematics, continuity, Computer Graphics and Computer-Aided Design, Computer science, Programming language, Inequality, Control and Systems Engineering, Physical Sciences, Computer Science, Mathematics, Numerical computation using splines, Computer-aided design (modeling of curves and surfaces), Numerical interpolation
Fields of Science
02 engineering and technology, 01 natural sciences, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics
Citation
Mustafa, Ghulam...et al. (2020). "The inequalities for the analysis of a class of ternary refinement schemes", AIMS Mathematics, Vol. 5, No. 6, pp. 7582-7604.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
1
Source
AIMS Mathematics
Volume
5
Issue
6
Start Page
7582
End Page
7604
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3
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