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

Autor: Ghulam Mustafa, Syeda Tehmina Ejaz, Dumitru Baleanu, Yu-Ming Chu
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: AIMS Mathematics, Vol 5, Iss 6, Pp 7582-7604 (2020)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2020485/fulltext.html
Popis: 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.
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