scientific article

Publication date: 17 September 1992

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

comparison theorems extremal problems diameters Jackson inequalities \(L^ p\)-bounded rth derivative

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by polynomials (41A10) Spline approximation (41A15) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46) Research exposition (monographs, survey articles) pertaining to approximations and expansions (41-02)

Related Items (38)

On minimax cardinal spline interpolation ⋮ Optimal recovery of multivariate functions restricted by second-order differential operator ⋮ Asymptotically best possible Lebesgue-type inequalities for the fourier sums on sets of generalized poisson integrals ⋮ The distance between the general Poisson summation formula and that for bandlimited functions; applications to quadrature formulae ⋮ Special moduli of continuity and the constant in the Jackson-Stechkin theorem ⋮ Optimal recovery of isotropic classes of \(r\)th differentiable multivariate functions ⋮ Korneichuk-Stechkin Lemma, Ostrowski and Landau Inequalities, and Optimal Recovery Problems for L-Space Valued Functions ⋮ Three stages in the development of approximation theory ⋮ Bounding Kolmogorov distances through Wasserstein and related integral probability metrics ⋮ On a general approach to some problems of approximation of operators ⋮ Fourier analysis in spaces of shifts ⋮ Sharp constants of approximation theory. IV: Asymptotic relations in general settings ⋮ On approximation processes defined by a cosine operator function ⋮ Autour d'un probl\`eme extr\'emal \'etudi\'e par Edmund Landau ⋮ On periodic \(L^2 n\)-widths ⋮ Optimal recovery of isotropic classes of twice-differentiable functions defined on \(d\)-dimensional Euclidean space ⋮ Simultaneous approximation of a multivariate function and its derivatives by multilinear splines ⋮ Asymptotic estimates for the best uniform approximations of classes of convolution of periodic functions of high smoothness ⋮ Efficient computation of Favard constants and their connection to Euler polynomials and numbers ⋮ Numerical methods for solution of Volterra and Fredholm integral equations for functions with values in \(L\)-spaces ⋮ An upper bound on the Kolmogorov widths of a certain family of integral operators ⋮ Encoding and recovery of operator values ⋮ On rational approximation of Markov functions on finite sets ⋮ New recursive representations for the Favard constants with application to multiple singular integrals and summation of series ⋮ Optimal systems of nodes for Lagrange interpolation on bounded intervals. A survey ⋮ Some remarks on spectral convergence and stability of iso-geometric analysis ⋮ Asymptotic optimality of periodic spline interpolation in non-parametric regression ⋮ Optimal recovery of three times differentiable functions on a convex polytope inscribed in a sphere ⋮ Extremal functions with vanishing condition ⋮ Analog of the Riesz identity and sharp inequalities for derivatives and differences of splines in the uniform metric ⋮ Direct and inverse approximation theorems of functions in the Musielak-Orlicz type spaces ⋮ Nikolskii type inequality for cardinal splines ⋮ Best constants in global smoothness preservation inequalities for some multivariate operators ⋮ A generalization of Bernstein-Kantorovič operators ⋮ Strong unicity of best uniform approximations from periodic spline spaces ⋮ Optimal quadrature problem on Hardy-Sobolev classes ⋮ Estimates of entropy for multiplier operators of systems of orthonormal functions ⋮ Riesz basis, Paley-Wiener class and tempered splines

This page was built for publication: