An Elementary Proof of Kolmogorov's Theorem
From MaRDI portal
Publication:4774498
DOI10.2307/2318585zbMath0286.41011OpenAlexW4246726510MaRDI QIDQ4774498
Publication date: 1974
Published in: The American Mathematical Monthly (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2318585
Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Spline approximation (41A15)
Related Items (17)
Euler \({\mathcal L}\)-splines and an extremal problem for periodic functions ⋮ Optimal recovery forW 2 r (ℝ) inL 2 (ℝ) ⋮ Landau-Kolmogorov inequality on a finite interval ⋮ A refinement of Kolmogorov's inequality ⋮ An elementary proof of Gorny's inequality ⋮ Autour d'un probl\`eme extr\'emal \'etudi\'e par Edmund Landau ⋮ The Landau inequality for bounded intervals with \(\| f^ 3\|\) finite ⋮ Infinite-dimensional widths in the spaces of functions. II ⋮ Optimal recovery of the Sobolev-Wiener class of smooth functions by double sampling ⋮ One-sided inequalities for the successive derivatives of a function ⋮ On an optimal method for the numerical differentiation of smooth functions ⋮ Necessary Conditions for the Convergence of Cardinal Hermite Splines as their Degree Tends to Infinity ⋮ Detailed proof of classical Gagliardo-Nirenberg interpolation inequality with historical remarks ⋮ Landau-type inequalities for bounded intervals ⋮ An extension of the Landau-Kolmogorov inequality. Solution of a problem of Erdős ⋮ Ramifications of Landau's inequality ⋮ Landau-Kolmogorov Inequalities for Semigroups and Groups
This page was built for publication: An Elementary Proof of Kolmogorov's Theorem