Korovkin-type theorems and applications

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Mahmudov N.

Central European Journal of Mathematics, vol.7, no.2, pp.348-356, 2009 (SCI-Expanded) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 7 Say: 2
  • Nəşr tarixi: 2009
  • Doi nömrəsi: 10.2478/s11533-009-0006-7
  • jurnalın adı: Central European Journal of Mathematics
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Səhifə sayı: pp.348-356
  • Açar sözlər: King's type q-Bernstein operator, Korovkin approximation, Positive operator, q-Bernstein operators, q-operators
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

Let {Tn} be a sequence of linear operators on C [0,1], satisfying that {Tn (ei)} converge in C[0,1] (not necessarily to ei) for i = 0,1,2, where ei = ti. We prove Korovkin-type theorem and give quantitative results on C2[0,1] and C [0,1] for such sequences. Furthermore, we define King's type q-Bernstein operator and give quantitative results for the approximation properties of such operators. © Versita Warsaw and Springer-Verlag Berlin Heidelberg 2009.