Local extremal interpolation on the semiaxis with the least value of the norm for a linear differential operator

DOI10.1134/S0001434623030148OpenAlexW4365814134MaRDI QIDQ2699781

Valerii T. Shevaldin

Publication date: 19 April 2023

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434623030148

zbMATH Keywords

differential operatorsemiaxislocal interpolationuniform gridgeneralized finite difference

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Numerical methods for ordinary differential equations (65Lxx)

Cites Work

• How small can one make the derivatives of an interpolating function?
• Extremal problems of functional interpolation and interpolation-in-the- mean splines
• Certain linear differential operators and generalized differences
• Favard's interpolation problem in one or more variables
• Interpolation by functions with \(n\)th derivative of minimum norm
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