Abstract

Nonlinear interpolating subdivision schemes have been introduced in recent years to reduce Gibbs phenomenon near irregular initial data points. In this article, we presented a class of (2n-1)-point nonlinear ternary interpolating subdivision schemes. It is shown that several of the existing nonlinear ternary interpolating subdivision schemes become special cases for our proposed class of schemes. Convergence for one special case of 5-point nonlinear interpolating subdivision schemes is proved.

Citation details of the article

Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 31
Issue: 3
Year: 2018

DOI: 10.12732/ijam.v31i3.9

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