Interpolation rational integral fraction of the Hermitian-type on a continual set of nodes

Ya. O.  Baranetskij; I. I. Demkiv; M. I. Kopach; A. V. Solomko

doi:10.30970/ms.56.2.185-192

Ya. O. Baranetskij Lviv Polytechnic National University, Lviv, Ukraine
I. I. Demkiv Lviv Polytechnic National University, Lviv, Ukraine
M. I. Kopach Vasyl Stefanyk Precarpathian National University, Ukraine
A. V. Solomko Vasyl Stefanyk Precarpathian National University, Ukraine

DOI: https://doi.org/10.30970/ms.56.2.185-192

Анотація

Some approaches to the construction of interpolation rational integral approximations with arbitrary multiplicity of nodes are analyzed. An integral rational Hermitian-type interpolant of the third order on a continual set of nodes, which is the ratio of a functional polynomial of the first degree to a functional polynomial of the second degree, is constructed and investigated. The resulting interpolant is one that holds any rational functional of the resulting form.

Біографія автора

A. V. Solomko, Vasyl Stefanyk Precarpathian National University, Ukraine

Department of Mathematics and Computer Science, Associate Professor

Посилання

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