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Periodica Mathematica Hungarica

, Volume 75, Issue 2, pp 201–209 | Cite as

Korovkin theorems on weighted spaces: revisited

  • Özlem Girgin Atlihan
  • Mehmet Ünver
  • Oktay DumanEmail author
Article

Abstract

In this note, using the idea of the late Professor Gadjiev (Mat Zametki 20(5):781–786, 1976), we give new, direct and easy proofs of the Korovkin theorems for positive linear operators acting on weighted spaces. Recent improvements and new applications are also presented.

Keywords

Weighted approximation Korovkin theorem Statistical convergence Summation process Abel summability 

Mathematics Subject Classification

41A36 40G15 40C15 

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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2017

Authors and Affiliations

  • Özlem Girgin Atlihan
    • 1
  • Mehmet Ünver
    • 2
  • Oktay Duman
    • 3
    Email author
  1. 1.Department of MathematicsPamukkale UniversityKinikli, DenizliTurkey
  2. 2.Department of Mathematics, Faculty of ScienceAnkara UniversityTandogan, AnkaraTurkey
  3. 3.Department of MathematicsTOBB Economics and Technology UniversitySogutozu, AnkaraTurkey

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