A note on the Fourier coefficients and partial sums of Vilenkin-Fourier series

zbMath1289.42084arXiv1410.6102MaRDI QIDQ5326655

Giorgi Tephnadze

Publication date: 6 August 2013

Full work available at URL: https://arxiv.org/abs/1410.6102

zbMATH Keywords

Fourier coefficientsVilenkin systempartial sumsmartingale Hardy space

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (11)

Sharp \(H_{p}\)-\(L_{p}\) type inequalities of weighted maximal operators of Vilenkin-Nörlund means and its applications ⋮ On the Nörlund means of Vilenkin-Fourier series ⋮ Strong convergence of two-dimensional Walsh-Fourier series ⋮ Unnamed Item ⋮ On the convergence of partial sums with respect to Vilenkin system on the martingale Hardy spaces ⋮ On the \((C,\alpha)\)-means with respect to the Walsh system ⋮ Strong convergence of two-dimensional Vilenkin-Fourier series ⋮ Strong convergence theorem of Cesàro means with respect to the Walsh system ⋮ On the partial sums of Vilenkin-Fourier series ⋮ Some new results on the strong convergence of Fejér means with respect to Vilenkin systems ⋮ On the maximal operators of weighted Marcinkiewicz type means of two-dimensional Walsh-Fourier series

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