International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3318 2020 2020 Shape preserving monotonic and convex data interpolation using rational cubic ball functions Department of Mathematics, Faculty of Science, Jerash University, Jerash, Jordan Ayser Ayser Department of Mathematics, Faculty of Science, Jerash University, Jerash, Jordan Jafar Husni Ahmed Department of Mathematics, Faculty of Science, Jadara University, Irbid, Jordan Ayman Hazaymeh In this study, a rational cubic Ball function has been used to preserve the shape of monotonic and convex data. Conditions for shape preservation were drawn from the data and imposed on the free parameters of the interpolant function in such a way as to preserve the shape of the data. The interpolant is C1, which is continuous and visually pleasant function. The outputs of a number of numerical examples are presented. 2025 2025 489 500 10.54216/IJNS.250340 https://www.americaspg.com/articleinfo/21/show/3318