C2 Cubic Algebraic Hyperbolic Spline Interpolating Scheme by Means of Integral Values Eddargani, Salah Algebraic hyperbolic splines Integro cubic interpolation Hermite representation The authors wish to thank the anonymous referees for their very pertinent and useful comments, which helped them to improve the original manuscript. The first author would like to thank the Department of Applied Mathematics of the University of Granada for the financial support for the research stay during which this work was carried out. The authors wish to thank the Hassan First University of Settat for the financial aid offered for the final cost of the APC. 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. 2022-06-02T06:28:55Z 2022-06-02T06:28:55Z 2022-04-29 info:eu-repo/semantics/article Eddargani, S... [et al.]. C2 Cubic Algebraic Hyperbolic Spline Interpolating Scheme by Means of Integral Values. Mathematics 2022, 10, 1490. [https://doi.org/10.3390/math10091490] http://hdl.handle.net/10481/75184 10.3390/math10091490 eng http://creativecommons.org/licenses/by/3.0/es/ info:eu-repo/semantics/openAccess Atribución 3.0 España MDPI