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Rate of convergence for double Walsh-Fourier series of functions of bounded fluctuation

✍ Scribed by Ferenc Móricz

Publisher
Springer
Year
1993
Tongue
English
Weight
397 KB
Volume
60
Category
Article
ISSN
0003-889X

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Effective Fine-convergence of Walsh-Four
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✍ 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