Publications
Article · MATHEMATICA SCANDINAVICA · February 23, 2017
A Boas-type theorem for $\alpha$-monotone functions
Mikhail Ivanovich Dyachenko, Askhat Birlesovich Mukanov, Erlan Dautbekovich 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.
Approximation Theory and Sequence SpacesAdvanced Harmonic Analysis ResearchMathematical Analysis and Transform Methodsfractional integralsFourier coefficientssummability
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