A Boas-type theorem for α -monotone functions

• M. Dyachenko ^[1] ; A. Mukanov ^[3] ; E. Nursultanov ^[2]
  1. [1] Moscow State University-RUSSIA
  2. [2] Universitat Autónoma de Barcelona-SPAIN
  3. [3] Gumilyov Eurasian National University-KAZAKHSTAN

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• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 120, Nº 1, 2017, págs. 39-58
• Idioma: inglés
• DOI: 10.7146/math.scand.a-25503
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• Resumen

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