Approximation by genuine q-bernstein-durrmeyer polynomials in compact disKS

Mahmudov N.

Hacettepe Journal of Mathematics and Statistics, vol.40, no.1, pp.77-89, 2011 (SCI-Expanded, Scopus, TRDizin) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 40 Say: 1
  • Nəşr tarixi: 2011
  • jurnalın adı: Hacettepe Journal of Mathematics and Statistics
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Səhifə sayı: pp.77-89
  • Açar sözlər: Approximation in compact disks, Complex genuine q-bernstein-durrmeyer operators, Voronovskaja's theorem
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

In this paper, the order of simultaneous approximation and Voronovskaja type theorems with quantitative estimate for complex genuine q-Bernstein-Durrmeyer polynomials (0 < q < 1) attached to analytic functions on compact disks are obtained. Our results show that extension of the complex genuine q-Bernstein-Durrmeyer polyno-mials from real intervals to compact disks in the complex plane extends approximation properties (with quantitative estimates).