On the new convergence criteria for Fourier series of Hardy and Littlewood
Gilbert Walter Morgan (1935)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Gilbert Walter Morgan (1935)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Vikramaditya Singh (1980)
Mathematica Slovaca
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S. Fridli (1997)
Studia Mathematica
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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...
G. Hardy, J. Littlewood (1935)
Fundamenta Mathematicae
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Per Sjölin (2004)
Collectanea Mathematica
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Generalized conjugate partial sums of Fourier series are used to find jumps of functions. The rate of convergence is studied and sharp results are obtained.
Prem Chandra (1979)
Revista Matemática Hispanoamericana
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J. Ash, Lawrence Gluck (1972)
Studia Mathematica
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