Approximation properties of weighted Kantorovich type operators in compact disks

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Mahmudov N., Kara M.

Journal of Inequalities and Applications, vol.2015, no.1, 2015 (SCI-Expanded) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 2015 Say: 1
  • Nəşr tarixi: 2015
  • Doi nömrəsi: 10.1186/s13660-015-0571-1
  • jurnalın adı: Journal of Inequalities and Applications
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Açar sözlər: Bernstein-Kantorovich operator, complex approximation, weighted Bernstein-Kantorovich operators
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

In this paper, we discuss the approximation properties of the complex weighted Kantorovich type operators. Quantitative estimates of the convergence, the Voronovskaja type theorem, and saturation of convergence for complex weighted Kantorovich polynomials attached to analytic functions in compact disks will be given. In particular, we show that for functions analytic in (Formula Presented), the rate of approximation by the weighted complex Kantorovich type operators is 1/n.