scientific article; zbMATH DE number 3100119
From MaRDI portal
Publication:5838792
zbMath0061.13603MaRDI QIDQ5838792
Publication date: 1946
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Related Items (53)
Sharp inequalities for approximations of convolution classes on the real line as the limit case of inequalities for periodic convolutions ⋮ On best convergence of series in the systems \(\phi(nx)\) ⋮ Circle method and modular theory ⋮ Order estimates for the best approximations and approximations by Fourier sums in the classes of convolutions of periodic functions of low smoothness in the uniform metric ⋮ Unnamed Item ⋮ Generalized shift, generalized convolution and some extremal relations in the theory of the approximation of functions ⋮ Approximation of classes of Poisson integrals by repeated Fejer sums ⋮ Asymptotically best possible Lebesgue-type inequalities for the fourier sums on sets of generalized poisson integrals ⋮ On the exact values of the best approximations of classes of differentiable periodic functions by splines ⋮ Approximations on classes of Poisson integrals by Fourier-Chebyshev rational integral operators ⋮ Exact errors of best approximation for complex-valued periodic functions ⋮ On exact recovery of sparse vectors from linear measurements ⋮ Upper bounds of best one-sided approximations of the classes \(W^rL_\Psi\) in the metric of \(L\) ⋮ Exact values of Kolmogorov widths of classes of Poisson integrals ⋮ Exact estimation of an approximation of some classes of differentiable functions by convolution operators ⋮ Lower bounds for the deviations of the best linear methods of approximation of continuous functions by trigonometric polynomials ⋮ Exact values of Kolmogorov widths for the classes of analytic functions. II ⋮ Order estimates for the best approximations and approximations by Fourier sums of the classes of \((\psi, \beta)\)-differential functions ⋮ Uniform approximations by Fourier sums on the sets of convolutions of periodic functions of high smoothness ⋮ The De La Vallée Poussin sums of Fourier-Chebyshev rational integral operators and approximations to Poisson integrals on the segment ⋮ Approximation of classes of Poisson integrals by incomplete Fejér means ⋮ Uniform approximation of Poisson integrals of functions from the class \(H_\omega\) by de la Vallée Poussin sums ⋮ On some extremal problems of approximation theory of functions on the real axis. I ⋮ Approximation of differentiable functions by rectangular repeated de la Vallée Poussin means ⋮ Asymptotics of series arising from the approximation of periodic functions by Riesz and Cesàro means ⋮ Sharp constants of approximation theory. IV: Asymptotic relations in general settings ⋮ Approximation of the functional classes \(W_ p^\alpha(L)\) in the spaces \(L_ t[-\pi,\pi\) by the Fejer method] ⋮ Approximation of classes of convolutions by linear operators of special form ⋮ Asymptotic behavior of best approximations of classes of Poisson integrals of functions from \(H_\omega\) ⋮ Unnamed Item ⋮ Weak type inequalities for best simultaneous approximation in Banach spaces ⋮ Approximation of some classes of set-valued periodic functions by generalized trigonometric polynomials ⋮ Approximation of the classes of generalized Poisson integrals by Fourier sums in metrics of the spaces \(L_S\) ⋮ Asymptotic estimates for the best uniform approximations of classes of convolution of periodic functions of high smoothness ⋮ Sharp Jackson inequality with a special modulus of continuity ⋮ Exact errors of best approximation for complex-valued nonperiodic functions ⋮ Encoding and recovery of operator values ⋮ Best constants of harmonic approximation on classes associated with the Laplace operator ⋮ An extremal relation of the theory of approximation of functions by algebraic polynomials ⋮ Exact inequalities for splines and best quadrature formulas for certain classes of functions ⋮ The best convergence of multiple trigonometric series ⋮ A nonperiodic spline analog of the Akhiezer-Krein-Favard operators ⋮ Sharp Jackson-type inequalities for approximations of classes of convolutions by entire functions of exponential type ⋮ The lower estimate of deviations of Fejer sums on classes of Poisson integrals ⋮ Sharp constants for approximations of convolution classes with an integrable kernel by spaces of shifts ⋮ On a set of weakly multiplicative systems ⋮ Exact values of best approximations for classes of periodic functions by splines of deficiency 2 ⋮ Sharp inequalities for approximations of classes of periodic convolutions by odd-dimensional subspaces of shifts ⋮ Exact values of the best \((\alpha,\beta)\)-approximations for the classes of convolutions with kernels that do not increase the number of sign changes ⋮ Approximation of Analytic Functions by Universal Vallee-Poussin Sums on the Chebyshev Polynomials ⋮ Classes of convolutions with a singular family of kernels: Sharp constants for approximation by spaces of shifts ⋮ Estimates for the deviations of integral operators in semilinear metric spaces and their applications ⋮ Approximation by Fourier sums in the classes of Weyl-Nagy differentiable functions with high exponent of smoothness
This page was built for publication: