scientific article
From MaRDI portal
Publication:3993375
zbMath0689.42002MaRDI QIDQ3993375
Publication date: 17 September 1992
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Trigonometric approximation (42A10) Multipliers in one variable harmonic analysis (42A45) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to harmonic analysis on Euclidean spaces (42-01)
Related Items (64)
Order estimates of the \(L_q\)-norms of generalized derivatives of the Dirichlet-type kernels with an arbitrary choice of harmonics ⋮ Approximation of Poisson integrals by repeated de la Vallée Poussin sums ⋮ Approximation of \((\overline\psi,\overline\beta)\)-differentiable periodic functions of many variables ⋮ Approximation of Cauchy-type integrals in Jordan domains ⋮ Estimations of the best approximations for the classes of infinitely differentiable functions in uniform and integral metrics ⋮ 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 ⋮ Classes of functions defined on the real line and their approximation by entire functions. I ⋮ Uniform estimates of (\(\lambda\) ,\(\phi\) )-strong integral average deviations of Fourier operators ⋮ Estimates of the diameters of convolution classes in the spaces C and L ⋮ Approximation of classes of Poisson integrals by repeated Fejer sums ⋮ Approximation of locally integrable functions on the real line ⋮ On the approximation of the classes \(W_\beta^r H^\alpha\) by biharmonic Poisson integrals ⋮ Approximation by interpolation trigonometric polynomials on classes of periodic analytic functions ⋮ Exact values of the approximations of differentiable functions by Poisson-type integrals ⋮ Approximating characteristics of the classes \(L_{\beta,p}^\psi\) of periodic functions in the space \(L_q\) ⋮ 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 ⋮ Approximation of classes \({C}_{\beta, \infty}^{\psi }\) by three-harmonic Poisson integrals in uniform metric (low smoothness) ⋮ Some asymptotic properties of the solutions of Laplace equations in a unit disk ⋮ Approximation of the classes \(C_{\beta}^{\psi } H^\alpha\) by biharmonic Poisson integrals ⋮ Strong summability of Fourier series of (\(\psi\) ,\(\beta\))-differentiable functions ⋮ Direct theorems on approximation of periodic functions with high generalized smoothness ⋮ Asymptotic behavior of best approximations of classes of Poisson integrals of functions from \(H_\omega\) ⋮ Lebesgue-type inequalities for the de la Valée-Poussin sums on sets of analytic functions ⋮ Strong summability of Fourier series on classes of periodic functions ⋮ Approximation of classes of analytic functions by algebraic polynomials and Kolmogorov widths ⋮ Problems of saturation of linear methods ⋮ Best trigonometric and bilinear approximations for the classes of \((\psi,\beta)\)-differentiable periodic functions ⋮ Bernstein-Nikol'skii-type inequalities for trigonometric polynomials with an arbitrary choice of harmonics ⋮ Approximation of the classes of generalized Poisson integrals by Fourier sums in metrics of the spaces \(L_S\) ⋮ Multiple Fourier sums on sets of \((\psi{},\beta{})\)-differentiable functions ⋮ Approximation by entire functions in the mean on the real line ⋮ Approximation of functions from the classes \(C_{\beta, \infty}^{\psi}\) by biharmonic Poisson integrals ⋮ Order Estimates of Best Orthogonal Trigonometric Approximations of Classes of Infinitely Differentiable Functions ⋮ Asymptotics of approximation of continuous periodic functions by linear means of their Fourier series ⋮ Approximation of the Besov classes of periodic functions of several variables in the space \(L_ q\) ⋮ Some remarks on the approximation of functions of high smoothness by Fourier operators ⋮ Approximation of functions defined on the real axis by means of de la Vallée-Poussin operators ⋮ Approximation of \((\psi, \beta)\)-differentiable functions of low smoothness by biharmonic Poisson integrals ⋮ Approximation of classes of periodic functions of several variables ⋮ Estimation of the best bilinear approximations for the classes of \((\psi, \beta)\)-differentiable periodic multivariable functions ⋮ Approximation theory and optimization problems ⋮ On the optimality of the trigonometric system ⋮ Generalized smoothness and approximation of periodic functions in the spaces \(L_p\), \(1 < p < +\infty \) ⋮ Estimates for a group of \(\varphi \) deviations and the strong summability of Taylor series of functions of class \(A ^\psi H_{\infty}(D)\) ⋮ Approximation of the classes $W^{r}_{\beta,\infty}$ by three-harmonic Poisson integrals ⋮ Mean-square rate of convergence of orthogonal series ⋮ Approximation of functions of high smoothness by Fourier sums ⋮ Uniform approximation by spherical Fourier sums on classes of functions defined by polyharmonic operators ⋮ Optimization of adaptive direct methods for the solution of operator equations in Hilbert space ⋮ Behavior of the group of derivations on sets of (\(\psi\) ,\(\beta\) )- differentiable functions ⋮ Classes of functions defined on the real axis and their approximations by entire functions. II ⋮ Approximation of weakly differentiable periodic functions ⋮ Asymptotic estimates of approximation of continuous periodic functions by Fourier sums ⋮ Uniform estimates of the integral strong mean deviations of continuous functions by entire functions ⋮ Strong mean deviations of Fourier operators ⋮ The lower estimate of deviations of Fejer sums on classes of Poisson integrals ⋮ Multiplicator type operators and approximation of periodic functions of one variable by trigonometric polynomials ⋮ Optimal approximation on \(S^d\) ⋮ Recovery of continuous functions from their Fourier coefficients known with error ⋮ Approximation properties of Poisson integrals for the classes \(C_\beta^\psi H^\alpha\) ⋮ Saturation classes of linear methods of summation of Fourier series ⋮ On Fourier coefficients of functions of class \(C^{\phi}_{\beta}H^{\omega}_ X\) ⋮ Inverse theorems on the approximation of periodic functions with high generalized smoothness
This page was built for publication:
