International Journal of Mathematics and Mathematical Sciences (Jan 2005)

Rate of convergence of beta operators of second kind for functions with derivatives of bounded variation

  • Vijay Gupta,
  • Ulrich Abel,
  • Mircea Ivan

DOI
https://doi.org/10.1155/IJMMS.2005.3827
Journal volume & issue
Vol. 2005, no. 23
pp. 3827 – 3833

Abstract

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We study the approximation properties of beta operators of second kind. We obtain the rate of convergence of these operators for absolutely continuous functions having a derivative equivalent to a function of bounded variation.