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 - <p style="text-align: justify;">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.</p>