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Keywords:

  • Monotone/general monotone functions and sequences;
  • Fourier transforms;
  • Fourier series;
  • MSC (2010) Primary: 26A48;
  • Secondary: 26A45;
  • 42B10

Abstract

In this paper we investigate properties of the general monotone sequences and functions, a generalization of monotone sequences and functions as well as of those of bounded variation. Some applications to various problems of analysis are given. © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim