Some new results on the strong convergence of Fejér means with respect to Vilenkin systems
From MaRDI portal
Publication:2057642
DOI10.1007/S11253-021-01948-5zbMath1479.42075arXiv2002.03769OpenAlexW4200063924MaRDI QIDQ2057642
Publication date: 7 December 2021
Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.03769
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Convergence and absolute convergence of Fourier and trigonometric series (42A20)
Related Items (6)
Sharp $(H_p,L_p)$ and $(H_p,\text{weak}-L_p)$ type inequalities of weighted maximal operators of $T$ means with respect to Vilenkin systems ⋮ Almost everywhere convergence of \(T\) means with respect to the Vilenkin system of integrable functions ⋮ Unnamed Item ⋮ Maximal operators of T means with respect to Walsh-Kaczmarz system ⋮ Modulus of continuity and convergence of subsequences of Vilenkin-Fejér means in martingale Hardy spaces ⋮ Sharp \((H_p, L_p)\) type inequalities of maximal operators of \(T\) means with respect to Vilenkin systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Strong convergence of two-dimensional Walsh-Fourier series
- Strong convergence of certain means with respect to the Walsh-Fourier series
- Martingale Hardy spaces and their applications in Fourier analysis
- Investigations of certain operators with respect to the Vilenkin system
- Strong convergence theorem for Vilenkin-Fourier series
- \(n\)-torsion groups
- Strong convergence theorems for Walsh-Fejér means
- Strong convergence of two-dimensional Vilenkin-Fourier series
- Strong convergence theorem for Vilenkin--Fejer means
- Maximal operators of Fejér means of double Vilenkin–Fourier series
- Some new (H_p,L_p) $ type inequalities of maximal operators of Vilenkin-Nörlund means with non-decreasing coefficients
- Strong convergence theorems for two-parameter Walsh-Fourier and trigonometric-Fourier series
- A note on the Fourier coefficients and partial sums of Vilenkin-Fourier series
- Fejér means of Vilenkin-Fourier series
This page was built for publication: Some new results on the strong convergence of Fejér means with respect to Vilenkin systems