Approximation Properties of Complex Modified Genuine Szasz-Durrmeyer Operators


Cetin N., İSPİR N.

COMPUTATIONAL METHODS AND FUNCTION THEORY, cilt.14, sa.4, ss.623-638, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Konu: 4
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1007/s40315-014-0067-x
  • Dergi Adı: COMPUTATIONAL METHODS AND FUNCTION THEORY
  • Sayfa Sayıları: ss.623-638

Özet

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.