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Ukrainian Mathematical Journal

, Volume 66, Issue 6, pp 928–936 | Cite as

Some Approximation Properties of Szasz–Mirakyan–Bernstein Operators of the Chlodovsky Type

  • T. Tunc
  • E. Simsek
Article
  • 138 Downloads

We motivate a new sequence of positive linear operators by means of the Chlodovsky-type Szasz–Mirakyan–Bernstein operators and investigate some approximation properties of these operators in the space of continuous functions defined on the right semiaxis. We also find the order of this approximation by using the modulus of continuity and present the Voronovskaya-type theorem.

Keywords

Approximation Property Bernstein Polynomial Positive Linear Operator Continuity Point Total Positivity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • T. Tunc
    • 1
  • E. Simsek
    • 1
  1. 1.Mersin UniversityMersinTurkey

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