On approximation of signals in the generalized Zygmund class via (E, 1) (N̅, pn) summability means of conjugate Fourier series

DOI10.22199/ISSN.0717-6279-2019-05-0063zbMath1454.42006OpenAlexW2996784477MaRDI QIDQ5142118

T. Pradhan, A. A. Das, Hemen Dutta, Susanta Kumar Paikray

Publication date: 29 December 2020

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22199/issn.0717-6279-2019-05-0063

zbMATH Keywords

degree of approximationconjugate Fourier seriesgeneralized Zygmund class\((\bar{N}, p_n)\) summability means\((E, 1)(\bar{N}, p_n)\) summability means\((E, 1)\) summability means

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Rate of convergence, degree of approximation (41A25) Fourier series and coefficients in several variables (42B05) Summability in several variables (42B08)

Related Items (4)

Approximation of Fourier-Laguerre expansion based on a new product deferred summability means ⋮ Unnamed Item ⋮ Approximation of signals via different summability means with effects of Gibbs phenomenon ⋮ On Approximation of Functions in the Generalized Zygmund Class Using $$(E,r)(N,q_n)$$ Mean Associated with Conjugate Fourier Series

Cites Work

• Euler-Hausdorff matrix summability operator and trigonometric approximation of the conjugate of a function belonging to the generalized Lipschitz class
• A Tauberian theorem for double Cesàro summability method
• Current Topics in Summability Theory and Applications
• Approximation of signals belonging to generalized Lipschitz class using -summability mean of Fourier series
• Tauberian theorems for Cesàro summability of nth sequences
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