A shape-preserving variant of Lane-Riesenfeld algorithm

Autor: Pakeeza Ashraf, Ghulam Mustafa, Husna A. Khan, Dumitru Baleanu, Abdul Ghaffar, Kottakkaran Sooppy Nisar
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: AIMS Mathematics, Vol 6, Iss 3, Pp 2152-2170 (2021)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2021131?viewType=HTML
Popis: 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, Hölder 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.
Databáze: Directory of Open Access Journals