scientific article; zbMATH DE number 7603492
zbMath1500.42003MaRDI QIDQ5041880
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Publication date: 18 October 2022
Full work available at URL: https://azjm.org/volumes/1202/pdf/1202-5.pdf
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Sobolev spacesmodulus of smoothnessmultiple Fourier seriesdegree of convergence\(N\)-dimensional Riesz means
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Trigonometric approximation (42A10) Rate of convergence, degree of approximation (41A25) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier series and coefficients in several variables (42B05)
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Cites Work
- Lebesgue points of double Fourier series and strong summability
- Approximation of certain bivariate functions by almost Euler means of double Fourier series
- Best approximation of functions in generalized Hölder class
- Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
- A note on the degree of approximation by matrix means in the generalized Hölder metric
- Functional approximation in Besov space using generalized Nörlund-Hausdorff product matrix
- $C^m$ Convergence of Trigonometric Interpolants
- On the Degree of Approximation of Continuous Functions by Means of Fourier Series in the Hölder Metric
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