Ashraf, PakeezaMustafa, GhulamKhan, Husna A.Baleanu, DumitruGhaffar, AbdulNisar, Kottakkaran Sooppy2022-03-072022-03-072021Ashraf, Pakeeza...et al. (2021). "A shape-preserving variant of Lane-Riesenfeld algorithm", AIMS Mathematics, Vol. 6, No. 3, pp. 2152-2170.2473-6988http://hdl.handle.net/20.500.12416/5083This 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.eninfo:eu-repo/semantics/openAccessLane-Riesenfeld AlgorithmSubdivision SchemeSmoothnessShape PreservationArticle632152217010.3934/math.2021131