SUMMATION-INTEGRAL TYPE OPERATORS BASED ON LUPAS-JAIN FUNCTIONS

Manav N., İSPİR N.

KRAGUJEVAC JOURNAL OF MATHEMATICS, cilt.45, sa.2, ss.309-322, 2021 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.46793/kgjmat2102.309m
  • Dergi Adı: KRAGUJEVAC JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Sayfa Sayıları: ss.309-322
  • Gazi Üniversitesi Adresli: Evet

Özet

We introduce a genuine summation-integral type operators based on Lupas-Jain type base functions related to the unbounded sequences. We investigated their degree of approximation in terms of modulus of continuity and K-functional for the functions from bounded and continuous functions space. Furthermore, we give some theorems for the local approximation properties of functions belonging to Lipschitz class. Also, we give Voronovskaja theorem for these operators.