Approximation properties of complex q-Balazs-Szabados operators in compact disks


İSPİR N. , Ozkan E.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2013
  • Doi Number: 10.1186/1029-242x-2013-361
  • Title of Journal : JOURNAL OF INEQUALITIES AND APPLICATIONS

Abstract

This paper deals with approximating properties and convergence results of the complex q-Balazs-Szabados operators attached to analytic functions on compact disks. The order of convergence and the Voronovskaja-type theorem with quantitative estimate of these operators and the exact degree of their approximation are given. Our study extends the approximation properties of the complex q-Balazs-Szabados operators from real intervals to compact disks in the complex plane with quantitative estimate.