Monotone polynomial approximation in Lp

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Abstract

Jackson type estimates on the rate of approximation of monotone functions in Lp[—1, 1] by means of monotone polynomials are obtained. The estimates involve an Lp modulus of continuity or equivalently a Peetre functional that weighs differently the behavior of the function in the middle of the interval and near the end points.

Original languageEnglish
Pages (from-to)231-241
Number of pages11
JournalRocky Mountain Journal of Mathematics
Volume19
Issue number1
DOIs
StatePublished - 1989

Keywords

  • Degree of monotone approximation
  • Jackson type estimates
  • Lp-modulus of continuity
  • Peetre kernel

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