Shape-Preserving Properties of a Relaxed Four-Point Interpolating Subdivision Scheme

Pakeeza Ashraf, Abdul Ghaffar, Dumitru Baleanu, Irem Sehar, Kottakkaran Sooppy Nisar and Faheem Khan
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Pakeeza Ashraf: Department of Mathematics, Government Sadiq College Women University, Bahawalpur 63100, Pakistan
Abdul Ghaffar: Informetrics Research Group, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam
Dumitru Baleanu: Department of Mathematics, Cankaya University, Ankara 06530, Turkey
Irem Sehar: Department of Mathematics, Government Sadiq College Women University, Bahawalpur 63100, Pakistan
Kottakkaran Sooppy Nisar: Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia
Faheem Khan: Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan

Mathematics, 2020, vol. 8, issue 5, 1-14

Abstract: 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.

Keywords: interpolating; subdivision scheme; shape preservation; limit curve (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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