Approximation by BernsteinDurrmeyer-type operators in compact disks

Mahmudov N.

Applied Mathematics Letters, vol.24, no.7, pp.1231-1238, 2011 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 24 Say: 7
  • Nəşr tarixi: 2011
  • Doi nömrəsi: 10.1016/j.aml.2011.02.014
  • jurnalın adı: Applied Mathematics Letters
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Səhifə sayı: pp.1231-1238
  • Açar sözlər: Complex BernsteinDurrmeyer-type polynomials, Simultaneous approximation, Voronovskaja-type result
  • 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 BernsteinDurrmeyer-type polynomials attached to analytic functions on compact disks are obtained. Our results show that extension of the complex BernsteinDurrmeyer-type polynomials from real intervals to compact disks in the complex plane extends approximation properties. © 2011 Elsevier Ltd. All rights reserved.