On convergence of Fourier series of functions of generalized bounded variation
Daniel Waterman (1972)
Studia Mathematica
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Daniel Waterman (1972)
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S. Perlman (1980)
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Okuyama, Yasuo (1983-1984)
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Siddiqi, Rafat N. (1979)
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A. Das, B. Lahiri (1980)
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Rajendra Sinha (1976)
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B. N. Varma (1969)
Rendiconti del Seminario Matematico della Università di Padova
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Bruce Aubertin, John Fournier (1993)
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We show that, if the coefficients (an) in a series tend to 0 as n → ∞ and satisfy the regularity condition that , then the cosine series represents an integrable function on the interval [-π,π]. We also show that, if the coefficients (bn) in a series tend to 0 and satisfy the corresponding regularity condition, then the sine series represents an integrable function on [-π,π] if and only if . These conclusions were previously known to hold under stronger restrictions on the sizes...
Julian Musielak (1958)
Annales Polonici Mathematici
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Z. Ciesielski (1968)
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