A -logarithmic analogue of Euler’s sine integral
Nobushige Kurokawa, Masato Wakayama (2005)
Rendiconti del Seminario Matematico della Università di Padova
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Nobushige Kurokawa, Masato Wakayama (2005)
Rendiconti del Seminario Matematico della Università di Padova
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C. Neugebauer (1972)
Studia Mathematica
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Prem Chandra (1979)
Revista Matemática Hispanoamericana
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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...
Tom Meurman (1986)
Acta Arithmetica
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Godfrey Harold Hardy, John Edensor Littlewood (1934)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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A. Jones (1971)
Acta Arithmetica
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