On the function of Marcinkiewicz
T. Walsh (1972)
Studia Mathematica
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T. Walsh (1972)
Studia Mathematica
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A. Offord (1972)
Studia Mathematica
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S. Pichorides (1972)
Studia Mathematica
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J. Loxton, Alfred van der Poorten (1983)
Acta Arithmetica
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Kayumov, I.R. (2001)
Annales Academiae Scientiarum Fennicae. Mathematica
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Matts Essén, Daniel F. Shea, Charles S. Stanton (2002)
Annales de l’institut Fourier
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We give a method for constructing functions and for which has a specified subharmonic minorant . By a theorem of B. Cole, this procedure establishes integral mean inequalities for conjugate functions. We apply this method to deduce sharp inequalities for conjugates of functions in the class , for . In particular, the case yields an improvement of Pichorides’ form of Zygmund’s classical inequality for the conjugates of functions in . We also apply the method to produce a new...
Stanisław Knapowski (1962)
Acta Arithmetica
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Stanisław Knapowski (1962)
Acta Arithmetica
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András Sárközy (1980)
Acta Arithmetica
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