Qualitative Korovkin-Type Results on Conservative Approximation

نویسندگان

  • F. J. Mun
  • Ronald A. DeVore
چکیده

The well-known result of Korovkin [4] states that for a sequence of positive linear operators [Kn]n 1 , such that Kn f converges uniformly to f in the particular cases f (t)=1, f (t)=t, and f (t)=t, then it also converges for every continuous real function f. The set [1, t, t] is called a Korovkin set. This result was a starting point for the development of a related theory. Since then many papers have appeared studying qualitative and quantitative Korovkin-type results for sequences of operators defined in many different spaces. Article No. AT983182

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تاریخ انتشار 1996