Convergence of λ -Bernstein operators via power series summability method

Naim L. Braha, Toufik Mansour, M. Mursaleen, Tuncer Acar

Research output: Contribution to journalArticlepeer-review


In this paper we present uniform convergence of a sequence of λ -Bernstein operators via A-statistical convergence and power summability method. A rate of convergence of the sequence of operators are also investigated by means of above mentioned summability methods. The last section is devoted to pointwise convergence (A-statistical convergence) of the sequence of operators in terms of Voronovskaya and Grü ss–Voronovskaya type theorems.

Original languageEnglish
Pages (from-to)125-146
Number of pages22
JournalJournal of Applied Mathematics and Computing
Issue number1-2
StatePublished - Feb 2021

Bibliographical note

Publisher Copyright:
© 2020, Korean Society for Informatics and Computational Applied Mathematics.


  • A-statistical convergence
  • Grüss–Voronovskaya type theorem
  • Korovkin type theorem
  • Power summability method
  • Rate of convergence
  • Voronovskaya type theorem
  • λ-Bernstein operators

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics


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