Article ID Journal Published Year Pages File Type
4627352 Applied Mathematics and Computation 2014 10 Pages PDF
Abstract

A five-point binary subdivision scheme with a parameter u   is presented. The generating polynomial method and the Hölder exponent are used to investigate the uniform convergence and CkCk continuity of this subdivision scheme, where k depends on the choice of the parameter u. Moreover, the conditions on the initial points are discussed for the given limit curve to be convexity preserving and an example is given to illustrate our conclusion.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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