Approximation Properties of Complex Modified Genuine Szasz-Durrmeyer Operators

Cetin N., Ispir N.

COMPUTATIONAL METHODS AND FUNCTION THEORY, vol.14, no.4, pp.623-638, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 4
  • Publication Date: 2014
  • Doi Number: 10.1007/s40315-014-0067-x
  • Journal Name: COMPUTATIONAL METHODS AND FUNCTION THEORY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.623-638
  • Keywords: Complex genuine Szasz-Durrmeyer operators, Voronovskaja-type result, Simultaneous approximation, Exact order of approximation, COMPACT-DISKS, MIRAKJAN OPERATORS, POLYNOMIALS
  • Ankara University Affiliated: Yes

Abstract

In this study, to approximate integrable functions, we introduce complex modified genuine Szasz-Durrmeyer operators and investigate the approximation properties of these operators. We obtain a Voronovskaja-type result with a quantitative estimate for complex modified genuine Szasz-Durrmeyer operators attached to analytic functions having suitable exponential growth on compact disks. Also, we obtain the exact order of approximation.