Interpolation integral continued fraction with twofold node

For a functional given on a continual set of nodes on the basis of the previously constructed interpolation integral continued fraction of the Newton type, an interpolant with a $k$-th twofold node has been constructed and investigated. It is proved that the constructed integral continued fraction is an interpolant of the Hermitian type.

Newton type interpolation continued fraction
twofold node of continued fraction
Hermitian type interpolant
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