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G. Mustafa, A. Ghaffar and F. Khan, “The Odd-Point Ternary Approximating Schemes,”American Journal of Computational Mathematics, vol. 1(2), pp. 111-118, 2011. doi: 10.4236/ajcm.2011.12011

has been cited by the following article:

• TITLE: Unification and Application of 3-point Approximating Subdivision Schemes of Varying Arity

  AUTHORS: Abdul Ghaffar, Ghulam Mustafa, Kaihuai Qin

  KEYWORDS: component; Approximating subdivision scheme; binary; ternary; a-ary; continuity and Laurent polynomial

  JOURNAL NAME: Open Journal of Applied Sciences, Vol.2 No.4B, January 11, 2013

  ABSTRACT: In this paper, we propose and analyze a subdivision scheme which unifies 3-point approximating subdivision schemes of any arity in its compact form and has less support, computational cost and error bounds. The usefulness of the scheme is illustrated by considering different examples along with its comparison with the established subdivision schemes. Moreover, B-splines of degree 4and well known 3-point schemes [1, 2, 3, 4, 6, 11, 12, 14, 15] are special cases of our proposed scheme.