Geodesic
Optimal interpolation of analytic functions
Matematičeskie zametki, Tome 12 (1972) no. 4, pp. 465-476.

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We construct an optimal interpolation formula for a particular class of analytic functions, optimization being over a set of interpolation methods which are not necessarily linear. Optimal nodes and the norm of the error are found for the optimal interpolation formula. 
@article{MZM_1972_12_4_a13,
     author = {K. Yu. Osipenko},
     title = {Optimal interpolation of analytic functions},
     journal = {Matemati\v{c}eskie zametki},
     pages = {465--476},
     publisher = {mathdoc},
     volume = {12},
     number = {4},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1972_12_4_a13/}
}
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K. Yu. Osipenko. Optimal interpolation of analytic functions. Matematičeskie zametki, Tome 12 (1972) no. 4, pp. 465-476. http://geodesic.mathdoc.fr/item/MZM_1972_12_4_a13/