Kolmogorov-type inequalities and best formulas for numerical differentiation

DOI10.1007/BF01094964zbMath0206.34901OpenAlexW2027506699MaRDI QIDQ2542777

L. V. Taĭkov

Publication date: 1969

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

Full work available at URL: https://doi.org/10.1007/bf01094964

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) General theory of linear operators (47A99) Approximation by operators (in particular, by integral operators) (41A35)

Related Items

The Landau-Kolmogorov problem on a finite interval in the Taikov case, Optimal recovery in weighted spaces with homogeneous weights, On the best approximation of the differentiation operator, Optimal recovery on classes of functions analytic in an annulus, Optimal recovery of operators and multidimensional Carlson type inequalities, Lieb-Thirring inequalities on the torus, Minimax linear estimation at a boundary point, Inequalities for derivatives with the Fourier transform, Unnamed Item, On Hardy-Littlewood-Pólya and Taikov type inequalities for multiple operators in Hilbert spaces, Best approximation of differentiation operators on the Sobolev class of functions analytic in a strip, Sharp adaptive estimation of linear functionals., Sharp interpolation inequalities for discrete operators and applications, Kolmogorov type inequalities for the Marchaud fractional derivatives on the real line and the half-line

Cites Work

• Functions of exponential type
• COMPLEX FOURIER--BESSEL TRANSFORMS
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