TY - JOUR T1 - Integro Cubic Splines on Non-Uniform Grids and Their Properties AU - Zhanlav , T. AU - Mijiddorj , R. JO - East Asian Journal on Applied Mathematics VL - 2 SP - 406 EP - 420 PY - 2021 DA - 2021/02 SN - 11 DO - http://doi.org/10.4208/eajam.030920.251220 UR - https://global-sci.org/intro/article_detail/eajam/18641.html KW - Integro cubic spline, local construction, non-uniform grid, error analysis. AB -

Integro cubic splines on a non-uniform grid using the integral values of an unknown function are constructed. We establish a consistency relation for integro cubic spline and derive a local integro cubic spline on non-uniform partitions. Approximation and convexity properties of the local integro cubic splines are also studied.