Approximation properties of bivariate complex q-Balazs-Szabados operators of tensor product kind

Yıldız Özkan E.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1186/1029-242x-2014-20
  • Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: complex approximation, q-Balazs-Szabados operators, order of convergence, Voronovskaja-type theorem, exact degree of approximation, POLYNOMIALS
  • Gazi Üniversitesi Adresli: Evet

Özet

In this study, we consider the bivariate complex q-Balazs-Szabados operators of the tensor product kind. Approximation properties of these operators attached to analytic functions on compact polydisks are investigated by using the results in the univariate case obtained for q-Balazs-Szabados operators in (Ispir and Yildiz Ozkan in J. Inequal. Appl. 2013: 361, 2013). In this sense, the upper estimate, the Voronovskaja-type theorem, and the lower estimate are obtained. The exact degree of its approximation is also given.