Yu. N. Subbotin's method in the problem of extremal interpolation in the mean in the space \(L_p(\mathbb{R})\) with overlapping averaging intervals

DOI10.1134/S0001434624050365zbMATH Open1546.41002MaRDI QIDQ6576788

Valerii T. Shevaldin

Publication date: 23 July 2024

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

zbMATH Keywords

splineuniform meshminimal normformally self-adjoint differential operatorextremal interpolation

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)

Cites Work

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• Some problems of extremal interpolation in the mean for linear differential operators
• Extremal interpolation with least norm of linear differential operator
• A problem of extremal interpolation
• Extremal problems of functional interpolation and interpolation-in-the- mean splines
• Extremal functional interpolation in the mean with least value of the \(n\)th derivative for large averaging intervals
• Interpolation by functions with \(n\)th derivative of minimum norm
• Extremal interpolation in the mean with overlapping averaging intervals and L -splines
• Extremal $ L_p$ interpolation in the mean with intersecting averaging intervals
• Sur l'interpolation.
• Extremal Interpolation in the Mean in the Space $$L_1(\mathbb R)$$ with Overlapping Averaging Intervals

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