## Journal of Applied Mathematics

### Local Control of the Curves Using Rational Cubic Spline

#### Abstract

This paper discussed the local control of interpolating function by using rational cubic spline (cubic/quadratic) with three parameters originally proposed by the authors. The rational spline has ${C}^{1}$ continuity. The bounded properties of the rational cubic interpolants and shape controls of the rational interpolants are discussed in detail. The value control, inflection point control, and convexity control at a point by using the proposed rational cubic spline are constructed. Several numerical results are presented to show the capability of the method. Numerical comparisons with the existing scheme are also further elaborated. From the results, it was indicated that the scheme works well and it is comparable with the established existing scheme.

#### Article information

Source
J. Appl. Math., Volume 2014 (2014), Article ID 872637, 12 pages.

Dates
First available in Project Euclid: 2 March 2015

https://projecteuclid.org/euclid.jam/1425305569

Digital Object Identifier
doi:10.1155/2014/872637

Mathematical Reviews number (MathSciNet)
MR3178976

Zentralblatt MATH identifier
07010782

#### Citation

Abdul Karim, Samsul Ariffin; Voon Pang, Kong. Local Control of the Curves Using Rational Cubic Spline. J. Appl. Math. 2014 (2014), Article ID 872637, 12 pages. doi:10.1155/2014/872637. https://projecteuclid.org/euclid.jam/1425305569

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