Geodesic
The analogue of Jacobi's theorem for simultaneous Hermitian interpolation of several functions
Problemy fiziki, matematiki i tehniki, no. 1 (2023), pp. 89-92

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The sufficient conditions are found under which rational Hermite – Jacobi approximations exist for a system of functions. It is shown that under these conditions, the Hermite – Jacobi approximations coincide with the corresponding Hermite – Padе approximations. The main result in the particular case when the system consists of one function is well-known Jacobi’s theorem.
Mots-clés : Hadamard determinants, Hermite – Jacobi approximants.
Keywords: perfect systems of functions, Hermite – Padе approximants 
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     title = {The analogue of {Jacobi's} theorem for simultaneous {Hermitian} interpolation of several functions},
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T. M. Osnach; N. V. Ryabchenko; A. P. Starovoitov. The analogue of Jacobi's theorem for simultaneous Hermitian interpolation of several functions. Problemy fiziki, matematiki i tehniki, no. 1 (2023), pp. 89-92. http://geodesic.mathdoc.fr/item/PFMT_2023_1_a13/