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Keywords = integro cubic interpolation

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13 pages, 410 KB  
Article
C2 Cubic Algebraic Hyperbolic Spline Interpolating Scheme by Means of Integral Values
by Salah Eddargani, Mohammed Oraiche, Abdellah Lamnii and Mohamed Louzar
Mathematics 2022, 10(9), 1490; https://doi.org/10.3390/math10091490 - 29 Apr 2022
Cited by 2 | Viewed by 2806
Abstract
In this paper, a cubic Hermite spline interpolating scheme reproducing both linear polynomials and hyperbolic functions is considered. The interpolating scheme is mainly defined by means of integral values over the subintervals of a partition of the function to be approximated, rather than [...] Read more.
In this paper, a cubic Hermite spline interpolating scheme reproducing both linear polynomials and hyperbolic functions is considered. The interpolating scheme is mainly defined by means of integral values over the subintervals of a partition of the function to be approximated, rather than the function and its first derivative values. The scheme provided is C2 everywhere and yields optimal order. We provide some numerical tests to illustrate the good performance of the novel approximation scheme. Full article
(This article belongs to the Special Issue Spline Functions and Applications)
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