Approximation theorems for generalized complex Kantorovich-type operators

Mahmudov N., Kara M.

Journal of Applied Mathematics, vol.2012, 2012 (SCI-Expanded) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 2012
  • Nəşr tarixi: 2012
  • Doi nömrəsi: 10.1155/2012/454579
  • jurnalın adı: Journal of Applied Mathematics
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

The order of simultaneous approximation and Voronovskaja-type results with quantitative estimate for complex q-Kantorovich polynomials (q > 0) attached to analytic functions on compact disks are obtained. In particular, it is proved that for functions analytic in {z ∈: |z| < R}, R > q, the rate of approximation by the q-Kantorovich operators (q > 1) is of order q -n versus 1/n for the classical Kantorovich operators. © 2012 N. I. Mahmudov and M. Kara.