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Browsing by Author "Sehar, Irem"

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    Shape-Preserving Properties of a Relaxed Four-Point Interpolating Subdivision Scheme
    (2020) Baleanu, Dumitru; Ghaffar, Abdul; Baleanu, Dumitru; Sehar, Irem; Nisar, Kottakkaran Sooppy; Khan, Faheem; 56389
    In this paper, we analyze shape-preserving behavior of a relaxed four-point binary interpolating subdivision scheme. These shape-preserving properties include positivity-preserving, monotonicity-preserving and convexity-preserving. We establish the conditions on the initial control points that allow the generation of shape-preserving limit curves by the four-point scheme. Some numerical examples are given to illustrate the graphical representation of shape-preserving properties of the relaxed scheme.