Monotone Trigonometric Approximation

D. Leviatan, J. Sidon

Research output: Contribution to journalArticlepeer-review


Let (Formula Presented), be nonlinear and nondecreasing. We wish to estimate the degree of approximation of f by trigonometric polynomials that are nondecreasing in [-ω,ω]. We obtain estimates involving the second modulus of smoothness of f and show that one in general cannot have estimates with the third modulus of smoothness.

Original languageEnglish
Pages (from-to)877-887
Number of pages11
JournalMediterranean Journal of Mathematics
Issue number3
StatePublished - 8 Jul 2015


  • 41A17
  • 41A25
  • 41A29
  • 42A10


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