On approximating periodic functions using linear approximation methods
โ Scribed by A. S. Zhuk; V. V. Zhuk
- Publisher
- Springer US
- Year
- 2007
- Tongue
- English
- Weight
- 225 KB
- Volume
- 143
- Category
- Article
- ISSN
- 1573-8795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let H be a real or complex Hilbert space, and let ) 0. A functional f on H is < ลฝ . ลฝ . ลฝ .< called an -approximately linear functional if f x q y y f x y f y F ลฝ< < 5 5 < < 5 5. x q y for all scalars , and all vectors x, y g H. If such a functional f is bounded then there exists a continuous linea
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