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A quantitative version of the Dirichlet-Jordan test for double Fourier series

✍ Scribed by Ferenc Móricz


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
497 KB
Volume
71
Category
Article
ISSN
0021-9045

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📜 SIMILAR VOLUMES


A Quantitative Version of the Young Test
✍ F. Moricz 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 196 KB

The classical Young test says that if \(f\) is a \(2 \pi\)-periodic function of bounded variation on \([-\pi, \pi]\), then the conjugate series to the Fourier series of \(f\) converges at \(x\) if and only if the conjugate function \(f\) exists at \(x\). Our main goal is to give estimates of the rat