Pointwise strong summability of Vilenkin-Fourier series
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Publication:2210405
DOI10.1134/S0001434620090229zbMath1451.42006OpenAlexW3096303485MaRDI QIDQ2210405
Publication date: 6 November 2020
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0001434620090229
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Topological and differentiable algebraic systems (22A99)
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Cites Work
- Sidon-type inequalities and strong approximation by Fourier sums in multiplicative systems
- On everywhere divergence of the strong \(\Phi\)-means of Walsh-Fourier series
- Strong approximation via Sidon type inequalities
- Strong means and oscillation of multiple Fourier series in multiplicative systems
- Cesàro means of integrable functions with respect to unbounded Vilenkin systems
- Pointwise convergence of the Fejér means of functions on unbounded Vilenkin groups
- Strong summability of two-dimensional Vilenkin-Fourier series
- Almost everywhere convergence of Fejér means of \(L^{1}\) functionson rarely unbounded Vilenkin groups
- On the existence of certain singular integrals
- Pointwise summability of Vilenkin--Fourier series
- The Strong Approximation of Functions by Fourier-Vilenkin Series in Uniform and Holder Metrics
- On a generalization of the concept of derivative
- On the summability of double Fourier series
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