Abstract
In this paper we study the exponential uniform strong approximation of Marcinkiewicz type of two-dimensional Walsh-Fourier series. In particular, it is proved that the Marcinkiewicz type of 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) | 1-19 |
| Number of pages | 19 |
| Journal | Constructive Approximation |
| Volume | 35 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Feb 2012 |
| Externally published | Yes |
Keywords
- Marcinkiewicz means
- Strong Approximation
- Walsh function
ASJC Scopus subject areas
- Analysis
- General Mathematics
- Computational Mathematics
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