Abstract
In this paper we study the exponential uniform strong approximation of two-dimensional Walsh-Fourier series. In particular, it is proved that the two-dimensional Walsh-Fourier series of the continuous function f is uniformly strong summable to the function f exponentially in the power 1/2. Moreover, it is proved that this result is best possible.
| Original language | English |
|---|---|
| Pages (from-to) | 170-188 |
| Number of pages | 19 |
| Journal | Studia Scientiarum Mathematicarum Hungarica |
| Volume | 49 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Jun 1 2012 |
| Externally published | Yes |
Keywords
- Primary 42C10
- strong approximation
- Walsh function
ASJC Scopus subject areas
- General Mathematics