Approximation of periodic functions by Steklov averages inL2
✍ Scribed by V. O. Dron’; V. V. Zhuk
- Publisher
- Springer US
- Year
- 2007
- Tongue
- English
- Weight
- 159 KB
- Volume
- 144
- Category
- Article
- ISSN
- 1573-8795
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📜 SIMILAR VOLUMES
Let W n be the set of 2?-periodic functions with absolutely continuous (n&1)th derivatives and nth derivatives with essential suprema bounded by one. Let n>1. Best uniform approximations to a periodic continuous function from W n are characterized. The result depends upon an analysis of the relatio
We investigate expansions of periodic functions with respect to wavelet bases. Direct and inverse theorems for wavelet approximation in C and L p norms are proved. For the functions possessing local regularity we study the rate of pointwise convergence of wavelet Fourier series. We also define and i