Abstract
The convergence of multiple Walsh-Fourier series of functions of bounded generalized variation is investigated. The sufficient and necessary conditions on the sequence Λ = {λ n} are found for the convergence of multiple Walsh-Fourier series of functions of bounded partial λ-variation.
| Original language | English |
|---|---|
| Pages (from-to) | 221-233 |
| Number of pages | 13 |
| Journal | Journal of Contemporary Mathematical Analysis |
| Volume | 47 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - Sept 2012 |
| Externally published | Yes |
Keywords
- Λ-variation
- generalized variation
- Walsh-Fourier series
ASJC Scopus subject areas
- Analysis
- Control and Optimization
- Applied Mathematics
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