The strong summability of Fourier series
G. Hardy, J. Littlewood (1935)
Fundamenta Mathematicae
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Displaying similar documents to “On the convergence and summability of power series on the circle of convergence (I)”
The strong summability of Fourier series
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J. Meder (1961)
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J. Marcinkiewicz, A. Zygmund (1937)
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J. Marcinkiewicz, Antoni Zygmund (1939)
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Absolute Riesz summability of Fourier series
Mishra, K.N. (1985-1986)
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S. Fridli (1997)
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Since the trigonometric Fourier series of an integrable function does not necessarily converge to the function in the mean, several additional conditions have been devised to guarantee the convergence. For instance, sufficient conditions can be constructed by using the Fourier coefficients or the integral modulus of the corresponding function. In this paper we give a Hardy-Karamata type Tauberian condition on the Fourier coefficients and prove that it implies the convergence of the Fourier...
Almost everywhere convergence of subsequence of logarithmic means of Walsh-Fourier series.
Goginava, Ushangi (2005)
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