The convergence rate of histopolation on arbitrary nonuniform mesh with linear/linear rational splines of class C1 is studied. Established convergence rate depends on Lipschitz smoothness class of the function to histopolate. Corresponding numerical examples are given.
Fischer, M., & Oja, P. (2007). Convergence rate of rational spline histopolation. Mathematical Modelling and Analysis, 12(1), 29-38. https://doi.org/10.3846/1392-6292.2007.12.29-38
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