Trigonometric widths of the Nikol'skii-Besov classes in the Lebesgue space with mixed norm

DOI10.1007/S11253-014-0975-YzbMath1311.42013OpenAlexW2048862079MaRDI QIDQ2260849

G. A. Akishev

Publication date: 12 March 2015

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-014-0975-y

zbMATH Keywords

multiple Fourier seriesLebesgue spaces with mixed normtrigonometric widthsNikol'skii-Besov classes

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Fourier series and coefficients in several variables (42B05)

Related Items (1)

Estimate for the order of orthoprojection width of the Nikol'skii-Besov class in the metric of anisotropic Lorentz spaces

Cites Work

• The spaces \(L^ p\), with mixed norm
• Nonlinear approximation by trigonometric sums
• On the minimum of norms of mixed derivatives of trigonometric polynomials with given number of harmonics
• On M-term approximations of the Nikolskii - Besov class
• Trigonometric and orthoprojection widths of classes of periodic functions of many variables
• Best m-term trigonometric approximation for the classes $ B_{p,{{\uptheta }}}^r $ of functions of low smoothness
• DIAMETERS OF SETS IN NORMED LINEAR SPACES AND THE APPROXIMATION OF FUNCTIONS BY TRIGONOMETRIC POLYNOMIALS
• Best Approximations and Kolmogorov and Trigonometric Widths of the Classes B Ω p,θ of Periodic Functions of Many Variables
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