Certain sharp inequalities for differentiable functions and estimation of approximation of functions and their derivatives by cubic interpolation splines

DOI10.1007/BF00969599zbMath0599.41027OpenAlexW2007200730MaRDI QIDQ1080097

N. P. Kornejchuk

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf00969599

zbMATH Keywords

extremal problemssharp estimate

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Interpolation in approximation theory (41A05) Spline approximation (41A15)

Related Items (1)

Fifty years of Schoenberg's problem on the convergence of spline interpolation

Cites Work

• On n-widths and interpolation by polynomial splines
• Spline interpolation and best approximation by trigonometric polynomials
• Optimal error bounds for cubic spline interpolation
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