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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2011 Volume 51, Number 10, Pages 1775–1789 (Mi zvmmf9553)

Hermite spline interpolation in the discrete periodic case

N. V. Chashnikov

IntelliJ Labs Co. Ltd., ul. Kantemirovskaya 2a, St. Petersburg, 195298 Russia

Abstract: 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.

Key words: Hermite spline interpolation, space of discrete functions, extremal and limit properties of solutions.

UDC: 519.652.3

Received: 21.01.2011
Revised: 09.03.2011


 English version:
Computational Mathematics and Mathematical Physics, 2011, 51:10, 1664–1678

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© Steklov Math. Inst. of RAS, 2024