Generalized Lupas Operators

İNCE İLARSLAN H. G., ARAL A., Bascanbaz-Tunca G.

6th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA), Budapest, Macaristan, 15 - 17 Ağustos 2017, cilt.1926, (Tam Metin Bildiri)

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1926
  • Doi Numarası: 10.1063/1.5020468
  • Basıldığı Şehir: Budapest
  • Basıldığı Ülke: Macaristan
  • Gazi Üniversitesi Adresli: Evet

Özet

In this work, by taking a continuously differentiable, increasing and unbounded function rho, we consider an extension of the Lupas operator L-n in the form L-n (f o rho(-1)) o rho for convenient functions f on [0, infinity). We give weighted approximation, Voronovskaya type theorem, quantitative estimates for the local approximation.