Some new results on H summability of Fourier series

DOI10.2989/16073606.2018.1504253zbMath1425.42004OpenAlexW2891703457MaRDI QIDQ5238039

A. Susana Coré, Calixto P. Calderón, Wilfredo O. Urbina R.

Publication date: 28 October 2019

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2018.1504253

zbMATH Keywords

Fourier seriesstrong summabilityMarcinkiewicz function\(A_1\)-weights

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Summability and absolute summability of Fourier and trigonometric series (42A24)

Cites Work

• On the trigonometric approximation of signals belonging to generalized weighted Lipschitz \(W(L^r,\xi(t))(r\geqslant 1)\)-class by matrix \((C^1\cdot N_p)\) operator of conjugate series of its Fourier series
• On limits of sequences of operators
• On certain lemmas of Marcinkiewicz and Carleson
• Trigonometric approximation of periodic Signals belonging to generalized weighted Lipschitz W'(L_r,ξ(t)),(r≥1) -- class by Nörlund-Euler (N,p_n) (E,q) operator of conjugate series of its Fourier series
• On parabolic Marcinkiewicz integrals
• Sur la Sommabilité Forte de Séries de Fourier
• On the Convergence and Summability of Power Series on the Circle of Convergence (II)
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