Results 61 to 70 of about 17,183,410 (158)

Maximal Operators of Vilenkin–Nörlund Means

open access: yes, 2015
In this paper we prove and discuss some new (H p ,weak−L p ) type inequalities of maximal operators of Vilenkin–Nörlund means with monotone coefficients. We also apply these results to prove a.e. convergence of such Vilenkin–Nörlund means.
Tephnadze, George,   +2 more
core   +1 more source

Cesàro means of integrable functions with respect to unbounded Vilenkin systems

open access: yesJournal of Approximation Theory, 2003
The author proves a main theorem in this note: Theorem. Let \(f\in L^1(G_m)\). Then we have \(\sigma_{M_n}f\to f\), a.e., where \(m= (m_k: k\in \{0,1,2,\dots\})\) is a sequence of integers each of them \(\geq 2\). And \(Z_{m_k}\) denote the discrete cyclic group of order \(m_k\) with normalized Haar measure \(\mu_k\) on \(Z_{m_k}\); \(G_m= \prod ...
openaire   +1 more source

Approximation properties of Cesàro means of Vilenkin-Fourier series [PDF]

open access: yes, 2022
This PhD thesis focuses on the investigation of approximation properties of Cesàro means of the Vilenkin-Fourier series. In particular, we obtain some new inequalities related to the rate of Lp approximation by Cesàro means of the Vilenkin-Fourier series
Tepnadze, Tsisino
core  

Strong convergence theorem for Vilenkin-Fejér means

open access: yes, 2014
As main result we prove strong convergence theorems of Vilenkin- Fejér means when 0 < p ≤ 1/2.
Blahota, István,, Tephnadze, George,
core   +1 more source

Summation methods and uniqueness in Vilenkin groups

open access: yes, 1988
It is shown that the σ \sigma -compact U U -sets for two different summation methods on Vilenkin groups are the same.
D. J. Grubb
core   +1 more source

A note on maximal operators of Vilenkin-Nörlund means

open access: yes, 2016
In this paper we prove and discuss some new (Hp, Lp)-type inequalities of weighted maximal operators of Vilenkin – N¨orlund means with non-increasing coefficients. These results are the best possible in a special sense.
Blahota, István, Tephnadze, Giorgi
core   +2 more sources

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