Higher order limit q-Bernstein operators

Mahmudov N.

Mathematical Methods in the Applied Sciences, vol.34, no.13, pp.1618-1626, 2011 (SCI-Expanded) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 34 Say: 13
  • Nəşr tarixi: 2011
  • Doi nömrəsi: 10.1002/mma.1469
  • jurnalın adı: Mathematical Methods in the Applied Sciences
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Səhifə sayı: pp.1618-1626
  • Açar sözlər: central moment, higher order limit q-Bernstein operator, limit q-Bernstein operator, positive linear operator, q-Bernstein polynomials, q-derivative
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

In this paper we give the estimates of the central moments for the limit q-Bernstein operators. We introduce the higher order generalization of the limit q-Bernstein operators and using the moment estimations study the approximation properties of these newly defined operators. It is shown that the higher order limit q-Bernstein operators faster than the q-Bernstein operators for the smooth functions defined on [0, 1]. © 2011 John Wiley & Sons, Ltd.