East Asian J. Appl. Math., 11 (2021), pp. 406-420.
Published online: 2021-02
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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.
}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.030920.251220}, url = {http://global-sci.org/intro/article_detail/eajam/18641.html} }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.