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On \(\Lambda\)-strong convergence of double numerical sequences and Fourier series - MaRDI portal

On \(\Lambda\)-strong convergence of double numerical sequences and Fourier series (Q1174422)

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scientific article; zbMATH DE number 8703
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English
On \(\Lambda\)-strong convergence of double numerical sequences and Fourier series
scientific article; zbMATH DE number 8703

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    On \(\Lambda\)-strong convergence of double numerical sequences and Fourier series (English)
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    25 June 1992
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    The author proved that the class of double numerical sequences, endowed with the norm generated by the strong means of the Hyslop and Tanović- Miller type, is a Banach space. Analogous result for the double Fourier series is also proved. Necessary and sufficient conditions for convergence of the double Fourier series in the considered norm are presented, too.
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    strong convergence
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    class of double numerical sequences
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    Banach space
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    double Fourier series
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