An analog of the Rolle theorem for differential operators and \({\mathcal L}\)- spline interpolation

DOI10.1007/BF01070973zbMath0819.46032MaRDI QIDQ1339645

Sergey I. Novikov

Publication date: 31 January 1995

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

zbMATH Keywords

Rolle theoremlinear differential operatorinterpolational \({\mathcal L}\)-splineslinear differential operators with continuous periodic coefficients

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Interpolation in approximation theory (41A05) Spline approximation (41A15) Derivatives of functions in infinite-dimensional spaces (46G05)

Cites Work

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• Widths and quadrature formulas on periodic function classes, conjugate to the Sobolev classes
• Nonsymetric approximations and inequalities for rearrangements in extremal problems of approximation theory
• On variation diminishing transformations on the circle
• On the Interval of Disconjugacy of Linear Autonomous Differential Equations
• 4.—An Algorithm for the Construction of all Disconjugate Operators.

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