Approximation by the q -Szász-Mirakjan operators

Mahmudov N.

Abstract and Applied Analysis, vol.2012, 2012 (SCI-Expanded) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 2012
  • Nəşr tarixi: 2012
  • Doi nömrəsi: 10.1155/2012/754217
  • jurnalın adı: Abstract and Applied Analysis
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

This paper deals with approximating properties of the q-generalization of the Szász-Mirakjan operators in the case q > 1. Quantitative estimates of the convergence in the polynomial-weighted spaces and the Voronovskaja's theorem are given. In particular, it is proved that the rate of approximation by the q-Szász-Mirakjan operators (q > 1) is of order q- n versus 1/n for the classical Szász-Mirakjan operators. Copyright © 2012 N. I. Mahmudov.