Estimate for the order of orthoprojection width of the Nikol'skii-Besov class in the metric of anisotropic Lorentz spaces
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Publication:2160276
DOI10.1007/s10958-022-06016-2OpenAlexW4287147723MaRDI QIDQ2160276
Y. Toleugazy, K. E. Kervenev, Kuanysh A. Bekmaganbetov
Publication date: 3 August 2022
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10958-022-06016-2
Linear function spaces and their duals (46Exx) Approximations and expansions (41Axx) Harmonic analysis in several variables (42Bxx)
Cites Work
- The ortho-diameters of Nikol'skii and Besov classes in the Lorentz spaces
- Orders of the orthoprojection widths of classes of periodic functions of one and of several variables
- Approximation of classes of periodic functions of several variables by nuclear operators
- Trigonometric widths of the Nikol'skii-Besov classes in the Lebesgue space with mixed norm
- On the order of the trigonometric diameter of the anisotropic Nikol'skii-Besov class in the metric of anisotropic Lorentz spaces
- Best trigonometric and bilinear approximations of classes of functions of several variables
- Interpolation theorems for anisotropic function spaces and their applications
- Best approximations and widths of classes of periodic functions of several variables
- Multivariate Rearrangements and Banach Function Spaces with Mixed Norms
- On the coefficients of multiple Fourier series in $ L_p$-spaces
- On the Order of the Trigonometric Diameter of the Anisotropic Nikol’skii–Besov Class in the Metric of Anisotropic Lorentz Spaces
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