Browsing by Author "Ashraf, Pakeeza"

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Citation Count: Ashraf, Pakeeza...et al. (2021). "A shape-preserving variant of Lane-Riesenfeld algorithm", AIMS Mathematics, Vol. 6, No. 3, pp. 2152-2170.
A shape-preserving variant of Lane-Riesenfeld algorithm
(2021) Ashraf, Pakeeza; Mustafa, Ghulam; Khan, Husna A.; Baleanu, Dumitru; Ghaffar, Abdul; Nisar, Kottakkaran Sooppy; 56389
This paper introduces a family of shape-preserving binary approximating subdivision schemes by applying a shape-preserving variant on the Lane-Riesenfeld algorithm. Using the symbols of subdivision schemes, we determine convergence and smoothness, Holder continuity, and support size of the limit curves. Furthermore, these schemes produce monotonic and convex curves under the certain conditions imposed on the initial data.
Citation Count: Ashraf, Pakeeza...et al. (2020). "Shape-Preserving Properties of a Relaxed Four-Point Interpolating Subdivision Scheme", Mathematics, Vol. 8, No. 5.
Shape-Preserving Properties of a Relaxed Four-Point Interpolating Subdivision Scheme
(2020) Ashraf, Pakeeza; 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.