Fourier-Chebyshev triangular sums in \(L^p\) (Q2780438)
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scientific article; zbMATH DE number 1728957
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fourier-Chebyshev triangular sums in \(L^p\) |
scientific article; zbMATH DE number 1728957 |
Statements
26 November 2002
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triangular partial sums
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double Fourier-Chebyshev series
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\(L^p\)-convergence
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Fourier-Chebyshev triangular sums in \(L^p\) (English)
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The triangular partial sums of double Fourier-Chebyshev series of the first and second kind of a function \(f(x,y)\in L^1[-1,1]^2\) are considered. The boundedness of \(L^p\)-norms as well as \(L^p\)-convergence of these sums are proved, mainly in the case \(0<p<1\).
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