This article demonstrates how rational Hermite-Fejér interpolation quantifies functions in rational spaces, implying effective interpolation techniques.
This article focuses on the study of Hermite-Fej?r interpolation in a rational space. We con-structed the rational functions with poles {-1, 1} satisfying the conditions of the Hermite-Fej?r interpolation on the nodes of the orthogonal Jacobi polynomial. The objective is to determine the quantitative esti-mate of the corresponding interpolatory function. Further, some numerical simulations are performed to demonstrate the effectiveness of the theory of the research work.
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Manral et al. (2025) studied this question.
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