Convergence of Integral Operators Based on Different Distributions

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Gupta V., SOYBAŞ D.

FILOMAT, cilt.30, ss.2277-2287, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 30 Konu: 8
  • Basım Tarihi: 2016
  • Doi Numarası: 10.2298/fil1608277g
  • Dergi Adı: FILOMAT
  • Sayfa Sayıları: ss.2277-2287


We propose a new sequence of integral type operators, which is based on the Polya and the binomial distributions. Here we have considered the value f(0) explicitly. It is observed that such integral operators preserve only the constant functions. We establish some direct results for the new sequence of linear positive operators. In the last section, we propose the modified form and observe that the modi?ed form provides better approximation in the compact interval[1/3, 1/2].