Some properties of the Walsh-Nörlund means.
- Resource Type
- Article
- Authors
- Goginava, Ushangi; Nagy, Károly
- Source
- QM - Quaestiones Mathematicae. Mar2023, Vol. 46 Issue 2, p301-334. 34p.
- Subject
- *INTEGRABLE functions
*SUMMABILITY theory
*MARTINGALES (Mathematics)
- Language
- ISSN
- 1607-3606
In the present paper we give a necessary and sufficient condition on monotone weights, which guaranties the Nörlund means of Walsh-Fourier series converge in L1 norm and CW norm. We also discuss the almost everywhere summability by Nörlund means and we prove that our condition is sufficient for almost everywhere convergence of Nörlund means for all integrable functions. [ABSTRACT FROM AUTHOR]