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arXiv · 2412.07925

Hermite-type interpolation in terms of exponential polynomials

Ali Hasan Ali·Zsolt Páles
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Abstract

Motivated by classical results of approximation theory, we define an Hermite-type interpolation in terms of $n$-dimensional subspaces of the space of $n$ times continuously differentiable functions. In the main result of this paper, we establish an error term in integral form for this interpolation in the case when the $n$-dimensional subspace is the kernel of an $n$th order linear differential operator with constant coefficients. Several corollaries are deduced illustrating the applicability of this result.

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Ali Hasan Ali, Zsolt Páles. 2024-12-10. Hermite-type interpolation in terms of exponential polynomials. https://arxiv.org/abs/2412.07925

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