Ghaffar, AbdulUllah, ZafarBari, MehwishNisar, Kottakkaran SooppyAl-Qurashi, Maysaa M.Baleanu, Dumitru2019-12-252019-12-252019Ghaffar, Abdul...et al. (2019). "A new class of 2m-point binary non-stationary subdivision schemes", Advances in Difference Equations, Vol. 2019, No. 1.1687-1847http://hdl.handle.net/20.500.12416/2295A new class of 2m-point non-stationary subdivision schemes (SSs) is presented, including some of their important properties, such as continuity, curvature, torsion monotonicity, and convexity preservation. The multivariate analysis of subdivision schemes is extended to a class of non-stationary schemes which are asymptotically equivalent to converging stationary or non-stationary schemes. A comparison between the proposed schemes, their stationary counterparts and some existing non-stationary schemes has been depicted through examples. It is observed that the proposed SSs give better approximation and more effective results.eninfo:eu-repo/semantics/openAccessBinary Approximating SchemesConvergenceShape PreservationCurvature and TorsionLagrange PolynomialsArticle2019110.1186/s13662-019-2264-4