Estimates for bilinear approximations of the classes \(S_{p,\theta}^\Omega B\) of periodic functions of two variables
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Publication:352141
DOI10.1007/s11253-013-0714-9zbMath1281.41015OpenAlexW2071612283MaRDI QIDQ352141
Publication date: 4 July 2013
Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11253-013-0714-9
majorant functionNikol'skii-Besov spacesBari-Stechkin conditionsbilinear approximationde la Vallée Poussin kernelmixed modulus of continuity
Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)
Related Items (2)
Best trigonometric and bilinear approximations for the classes of \((\psi,\beta)\)-differentiable periodic functions ⋮ Estimation of the best bilinear approximations for the classes of \((\psi, \beta)\)-differentiable periodic multivariable functions
Cites Work
- A problem of best approximation of functions of several variables
- Some problems in the approximation of functions of two variables and n- widths of integral operators
- Representation and approximation of periodic functions of several variables with given mixed modulus of continuity
- Asymptotic estimates for the best trigonometric and bilinear approximations of classes of functions of several variables
- Approximation characteristics of the classes B p,θ Ω of periodic functions of many variables
- DIAMETERS OF SETS IN NORMED LINEAR SPACES AND THE APPROXIMATION OF FUNCTIONS BY TRIGONOMETRIC POLYNOMIALS
- Certain problems of closest approximation
- Kolmogorov and trigonometric widths of the Besov classes $ B^r_{p,\theta}$ of multivariate periodic functions
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