SUMMATION-INTEGRAL TYPE OPERATORS BASED ON LUPAS-JAIN FUNCTIONS

Manav N., İSPİR N.

KRAGUJEVAC JOURNAL OF MATHEMATICS, vol.45, no.2, pp.309-322, 2021 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 45 Issue: 2
  • Publication Date: 2021
  • Doi Number: 10.46793/kgjmat2102.309m
  • Journal Name: KRAGUJEVAC JOURNAL OF MATHEMATICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Page Numbers: pp.309-322
  • Gazi University Affiliated: Yes

Abstract

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.