Best trigonometric approximations for some classes of periodic functions of several variables in the uniform metric
From MaRDI portal
Publication:635566
DOI10.1134/S0001434607070279zbMath1219.41006MaRDI QIDQ635566
Publication date: 20 August 2011
Published in: Mathematical Notes (Search for Journal in Brave)
Hölder's inequalitybest trigonometric approximationMinkowski's inequalityclasses \(B_{p\theta }^{r}\) and \(W_{p\alpha }^{r}\) of periodic functions
Multidimensional problems (41A63) Approximation by polynomials (41A10) Convergence of Fourier series and of inverse transforms (43A50)
Related Items
Nonlinear trigonometric approximations of multivariate function classes, Best \(n\)-term approximation of diagonal operators and application to function spaces with mixed smoothness, Characteristics of the linear and nonlinear approximations of the Nikol'skii-Besov-type classes of periodic functions of several variables, Approximations of the classes \(\mathbf{MB}_{p,\theta}^{r}\) of periodic functions of several variables by polynomials according to the Haar system, Best trigonometric and bilinear approximations for the classes of \((\psi,\beta)\)-differentiable periodic functions, Nonlinear approximations of classes of periodic functions of many variables, Approximate characteristics of the classes \({B}_{p,\theta}^{\Omega}\) of periodic functions of one variable and many ones, Estimation of some approximating characteristics of the classes of periodic functions of one and many variables, Approximating characteristics of the Nikol'skii-Besov classes \({S}_{1,\theta}^rB({\mathbb{R}}^d) \), Best orthogonal trigonometric approximations of the Nikol'skii-Besov-type classes of periodic functions in the space \(B_{ \infty ,1}\), Approximation of the classes of periodic functions of one and many variables from the Nikol'skii-Besov and Sobolev spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear approximation by trigonometric sums
- Approximation of functions of several variables by trigonometric polynomials with given number of harmonics, and estimates of \(\epsilon\)- entropy
- Decomposition theorems and approximation by a “floating" system of exponentials
- Approximability of the classes $ B_{p,\theta}^r$ of periodic functions of several variables by linear methods and best approximations
- Best $ M$-term trigonometric approximations of Besov classes of periodic functions of several variables
- Approximation of classes of periodic functions of several variables
