A concept of general monotonicity and applications

E. Liflyand, S. Tikhonov

Research output: Contribution to journalArticlepeer-review

58 Scopus citations


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.

Original languageEnglish
Pages (from-to)1083-1098
Number of pages16
JournalMathematische Nachrichten
Issue number8-9
StatePublished - Jun 2011


  • Fourier series
  • Fourier transforms
  • Monotone/general monotone functions and sequences


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