On the convergence of Fejér means of Walsh-Fourier series in the space \(H_p\)
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Publication:2631005
DOI10.3103/S1068362316020059zbMath1358.42024arXiv1409.4971OpenAlexW1760314221MaRDI QIDQ2631005
Publication date: 28 July 2016
Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.4971
Martingales with discrete parameter (60G42) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)
Related Items (4)
Some new restricted maximal operators of Fejér means of Walsh-Fourier series ⋮ Martingale Hardy spaces and some new weighted maximal operators of Fejér means of Walsh-Fourier series ⋮ Unnamed Item ⋮ Modulus of continuity and convergence of subsequences of Vilenkin-Fejér means in martingale Hardy spaces
Cites Work
- The martingale Hardy type inequality for Marcinkiewicz-Fejér means of two-dimensional conjugate Walsh-Fourier series
- A note on the norm convergence by Vilenkin-Fejér means
- Approximation by Nörlund means of Walsh-Fourier series
- Martingale Hardy spaces and their applications in Fourier analysis
- Investigations of certain operators with respect to the Vilenkin system
- On the approximation properties of Cesàro means of negative order of Walsh-Fourier series
- Approximation by Cesàro means of negative order of double Walsh-Kaczmarz-Fourier series
- Strong convergence theorems for Walsh-Fejér means
- Maximal operators of Fejér means of double Walsh-Fourier series
- Cesàro summability of one- and two-dimensional Walsh-Fourier series
- Strong convergence theorem for Vilenkin--Fejer means
- On a generalization of the concept of derivative
- Summability of Multi-Dimensional Fourier Series and Hardy Spaces
- Fejér means of Vilenkin-Fourier series
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