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L1-approximation rate of certain trigonometric series

✍ Scribed by R. J. Le; S. P. Zhou


Publisher
Akadmiai Kiad
Year
2011
Tongue
English
Weight
550 KB
Volume
134
Category
Article
ISSN
1588-2632

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On integrability and L1-convergence diff
✍ N. TanoviΔ‡-Miller πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 184 KB

New integrability and L 1 -convergence classes for the r-times differentiated trigonometric series k∈Z (ik) r c k e ikx are derived using known results on integrability and L 1 -convergence of trigonometric series. These classes, Theorems 1 and 2, subsume all known integrability and L 1 -convergence