Unified Framework of Approximating and Interpolatory Subdivision Schemes for Construction of Class of Binary Subdivision Schemes. (17th December 2020)

• Record Type: Journal Article
• Authors: Ashraf, Pakeeza; Mustafa, Ghulam; Ghaffar, Abdul; Zahra, Rida; Nisar, Kottakkaran Sooppy; Mahmoud, Emad E.; Alharbi, Wedad R.
• Other Names: Aral Ali Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-12-17
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/6677778
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, a generalized algorithm to develop a class of approximating binary subdivision schemes is presented. The proposed algorithm is based on three-point approximating binary and four-point interpolating binary subdivision schemes. It contains a parameter which classifies members of the new class of subdivision schemes. A set of efficient properties, for instance, polynomial generation and reproduction, support, continuity, and Hölder continuity, is discussed. Moreover, applications of the proposed subdivision schemes are given in order to demonstrate their variety, flexibility, and visual performance.