On q-Parametric Szász-Mirakjan Operators

Mahmudov N.

Mediterranean Journal of Mathematics, vol.7, no.3, pp.297-311, 2010 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 7 Say: 3
  • Nəşr tarixi: 2010
  • Doi nömrəsi: 10.1007/s00009-010-0037-0
  • jurnalın adı: Mediterranean Journal of Mathematics
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Səhifə sayı: pp.297-311
  • Açar sözlər: Korovkin approximation, modulus of continuity, positive operator, q-polynomials, rate of convergence, Szász-Mirakjan operator, Voronovskaja-type formula
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

In the present paper, we introduce q-parametric Szász-Mirakjan operators. We study convergence properties of these operators Sn,q(f). We obtain inequalities for the weighted approximation error of q-Szász-Mirakjan operators. Such inequalities are valid for functions of polynomial growth and are expressed in terms of weighted moduli of continuity. We also discuss Voronovskaja-type formula for q-Szász-Mirakjan operators. © 2010 Springer Basel AG.