Abstract
In this paper, different variants of processing of number flows using Lagrange and Hermite non-polynomial splines are studied. The splines are constructed from approximate relations including a generating vector function with components of different character, including non-polynomial. Approximations by first-order Lagrange and third-order Hermite splines are considered. The efficiency of the approximations constructed is demonstrated on the examples of flows of the values of a function and flows of the values of a function and its derivative. The advantages of the splines considered are the simplicity of construction, maximum smoothness, interpolation and approximation properties, and the accuracy on a priori given functions (on the components of the generating vector function).
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Translated by E. Chernokozhin
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Belyakova, O.V. On Implementation of Non-Polynomial Spline Approximation. Comput. Math. and Math. Phys. 59, 689–695 (2019). https://doi.org/10.1134/S096554251905004X
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DOI: https://doi.org/10.1134/S096554251905004X