Degree of approximation of genuine Lupas-Durrmeyer operators

Manav N., İSPİR N.

TBILISI MATHEMATICAL JOURNAL, cilt.12, sa.2, ss.119-135, 2019 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 2
  • Basım Tarihi: 2019
  • Doi Numarası: 10.32513/tbilisi/1561082572
  • Dergi Adı: TBILISI MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.119-135
  • Gazi Üniversitesi Adresli: Evet

Özet

The present paper deals with the rate of convergence of genuine type Durrmeyer operators having Lupas-Szasz type basis functions. We study some direct estimates to give the degree of approximation to continuous functions. Further, we investigate pointwise convergence for functions with derivative of bounded variations.