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Strong approximation of two-dimensional Walsh-Fourier series - MaRDI portal

Strong approximation of two-dimensional Walsh-Fourier series (Q2915434)

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scientific article; zbMATH DE number 6083266
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Strong approximation of two-dimensional Walsh-Fourier series
scientific article; zbMATH DE number 6083266

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    Strong approximation of two-dimensional Walsh-Fourier series (English)
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    17 September 2012
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    Walsh function
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    strong approximation
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    The authors study the exponential uniform strong approximation of two-dimensional Walsh-Fourier series. They prove that the two-dimensional Walsh-Fourier series of the continuous function \(f\) is uniformly strong summable to the function \(f\) exponentially in the power \(1/2\). It is also proved that this result is the best possible.
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