Convergence of Integral Operators Based on Different Distributions

Creative Commons License

Gupta V., SOYBAŞ D.

FILOMAT, cilt.30, sa.8, ss.2277-2287, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 8
  • Basım Tarihi: 2016
  • Doi Numarası: 10.2298/fil1608277g
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2277-2287
  • Anahtar Kelimeler: Durrmeyer variant, Polya distribution, Modulus of continuity, K-functional, Quantitative asymptotic formula, Linear functions, APPROXIMATION
  • Erciyes Üniversitesi Adresli: Evet

Özet

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].