Approximation of functions in generalized Zygmund class by double Hausdorff matrix
DOI10.1186/S13662-020-02711-ZzbMath1485.42002OpenAlexW3037174236MaRDI QIDQ2116120
Publication date: 16 March 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-020-02711-z
error estimationdouble Fourier seriesdouble Hausdorff \((\Delta_{H_{pq}})\) summability meansgeneralized Zygmund class
Trigonometric approximation (42A10) Matrix methods for summability (40C05) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Rate of convergence, degree of approximation (41A25) Fourier series and coefficients in several variables (42B05)
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Cites Work
- Approximation of functions in Besov space by deferred Cesàro mean
- Approximation of functions in the generalized Zygmund class using Hausdorff means
- Using infinite matrices to approximate functions of class Lip\((\alpha ,p)\) using trigonometric polynomials
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- On Stević-Sharma operator from the Zygmund space to the Bloch-Orlicz space
- Functional approximation in Besov space using generalized Nörlund-Hausdorff product matrix
- Degree of approximation of signals (functions) in Besov space using linear operators
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- The Hausdorff Means for Double Sequences
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