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Absolute convergence of double Walsh–Fourier series and related results

✍ Scribed by Ferenc Móricz; Antal Veres

Publisher
Akadmiai Kiad
Year
2011
Tongue
English
Weight
574 KB
Volume
131
Category
Article
ISSN
1588-2632

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Effective Fine-convergence of Walsh-Four
Effective Fine-convergence of Walsh-Fourier series
✍ 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