OnL1-convergence of Walsh-Fourier series I
✍ Scribed by Ferenc Móricz
- Book ID
- 112911389
- Publisher
- Springer Milan
- Year
- 1989
- Tongue
- Italian
- Weight
- 188 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0009-725X
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📜 SIMILAR VOLUMES
In this paper we give a condition with respect to Walsh᎐Fourier coefficients that implies the L -convergence of the corresponding Walsh᎐Fourier series. We show 1 that the L -convergence class induced by this condition contains each one of the 1 previously known convergence classes as a proper subset
## Abstract We define the effective integrability of Fine‐computable functions and effectivize some fundamental limit theorems in the theory of Lebesgue integrals such as the Bounded Convergence Theorem, the Dominated Convergence Theorem, and the Second Mean Value Theorem. It is also proved that th