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On the Asymptotic Behavior of Sequences of Positive Linear Approximation Operators

In: Mathematical Analysis, Approximation Theory and Their Applications

Author

Listed:
  • Ioan Gavrea

    (Technical University of Cluj Napoca)

  • Mircea Ivan

    (Technical University of Cluj Napoca)

Abstract

We provide an analysis of the rate of convergence of positive linear approximation operators defined on C[0, 1]. We obtain a sufficient condition for a sequence of positive linear approximation operators to possess a Mamedov-type property and give an application to the Durrmeyer approximation process.

Suggested Citation

  • Ioan Gavrea & Mircea Ivan, 2016. "On the Asymptotic Behavior of Sequences of Positive Linear Approximation Operators," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Vijay Gupta (ed.), Mathematical Analysis, Approximation Theory and Their Applications, pages 267-280, Springer.
    • Handle: RePEc:spr:spochp:978-3-319-31281-1_11
    DOI: 10.1007/978-3-319-31281-1_11
    as

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