Geodesic
Hermite spline interpolation in the discrete periodic case
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 10, pp. 1775-1789

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Interpolation of discrete periodic complex-valued functions by the values and increments given at equidistant nodes is examined. A space of discrete functions in which the interpolation problem is uniquely solvable is introduced. Extremal and limit properties of the solution to this problem are found. 
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     author = {N. V. Chashnikov},
     title = {Hermite spline interpolation in the discrete periodic case},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1775--1789},
     publisher = {mathdoc},
     volume = {51},
     number = {10},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_10_a2/}
}
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N. V. Chashnikov. Hermite spline interpolation in the discrete periodic case. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 10, pp. 1775-1789. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_10_a2/