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Absolute convergence of Walsh-Fourier series and related results

✍ Scribed by Ferenc Móricz


Publisher
Springer
Year
2010
Tongue
English
Weight
172 KB
Volume
36
Category
Article
ISSN
0133-3852

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Effective Fine-convergence of Walsh-Four
✍ Takakazu Mori; Mariko Yasugi; Yoshiki Tsujii 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 182 KB

## 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