WEIGHTED APPROXIMATION BY q-SZASZ-KING TYPE OPERATORS


Agratini O., Dogru O.

TAIWANESE JOURNAL OF MATHEMATICS, vol.14, no.4, pp.1283-1296, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 4
  • Publication Date: 2010
  • Doi Number: 10.11650/twjm/1500405945
  • Journal Name: TAIWANESE JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1283-1296
  • Gazi University Affiliated: Yes

Abstract

By using q-calculus, in the present paper we construct Szasz type operators in King sense, this meaning the operators preserve the first and the third test function of Bohman-Korovkin theorem. Rate of local and global convergence is obtained in the frame of weighted spaces. The statistical approximation property of our operators is also revealed.