Abstract
We discuss some convergence and divergence properties of twodimensional (Nürlund) logarithmic means of two-dimensional Walsh-Fourier series of functions both in the uniform and in the Lebesgue norm. We give necessary and sufficient conditions for the convergence regarding the modulus of continuity of the function, and also the function space.
| Original language | English |
|---|---|
| Pages (from-to) | 75-88 |
| Number of pages | 14 |
| Journal | Georgian Mathematical Journal |
| Volume | 12 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2005 |
| Externally published | Yes |
Keywords
- Double Walsh-Fourier series
- logarithmic means
- norm convergence
ASJC Scopus subject areas
- General Mathematics