TY - JOUR AU - Dyachenko, M. AU - Mukanov, A. AU - Nursultanov, E. PY - 2017/02/23 Y2 - 2024/03/28 TI - A Boas-type theorem for $\alpha$-monotone functions JF - MATHEMATICA SCANDINAVICA JA - Math. Scand. VL - 120 IS - 1 SE - Articles DO - 10.7146/math.scand.a-25503 UR - https://www.mscand.dk/article/view/25503 SP - 39-58 AB - 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. ER -