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On convergence of general Gamma type operators

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Abstract

The present paper deals with the new type of Gamma operators, here we estimate the rate of pointwise convergence of these new Gamma type operators Mn,k for functions of bounded variation, by using some techniques of probability theory.

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Correspondence to Harun Karsli.

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Karsli, H. On convergence of general Gamma type operators. Anal. Theory Appl. 27, 288–300 (2011). https://doi.org/10.1007/s10496-011-0288-z

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Key words

  • rate of convergence
  • gamma operator
  • bounded variation
  • total variation

AMS (2010) subject classification

  • 41A25
  • 41A35