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A Boas-type theorem for $\alpha$-monotone functions

M. Dyachenko, A. Mukanov, E. Nursultanov

Abstract


We define the class of $\alpha$-monotone functions using fractional integrals.  For such functions we prove a Boas-type result on the summability of the Fourier coefficients.

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References


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DOI: http://dx.doi.org/10.7146/math.scand.a-25503

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