A class of shape preserving 5-point \(n\)-ary approximating schemes

Volume 18, Issue 3, pp 364--380 http://dx.doi.org/10.22436/jmcs.018.03.11 Publication Date: August 08, 2018       Article History

Authors

Robina Bashir - Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan Ghulam Mustafa - Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan Praveen Agarwal - Department of Mathematics, Anand International College of Engineering, Jaipur, India


Abstract

A new class of shape preserving relaxed 5-point \(n\)-ary approximating subdivision schemes is presented. Further, the conditions on the initial data assuring monotonicity, convexity and concavity preservation of the limit functions are derived. Furthermore, some significant properties of ternary and quaternary subdivision schemes have been elaborated such as continuity, Hölder exponent, polynomial generation, polynomial reproduction, approximation order, and support of basic limit function. Moreover the visual performance of schemes has also been demonstrated through several examples.


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