On linear positive operators involving biorthogonal polynomial

İÇÖZ G., Yeşildal F., VARMA S.

Ars Combinatoria, cilt.105, ss.319-331, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 105
  • Basım Tarihi: 2012
  • Dergi Adı: Ars Combinatoria
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.319-331
  • Anahtar Kelimeler: Konhauser polynomials, Linear positive operatois, Lipschitz class, Niocluhis of continuity, Peetie's K-funttional
  • Ankara Üniversitesi Adresli: Evet

Özet

In tlii.s paper we rccall Koiihaiiser polynoniialH. Approximation properties of these operators are obtained witli the liolp of tlie Korovkin tliooreni. Tlie order of convergence of the.se operatois is computed by means of modulus continuity, Peetre's K-functional and the elements of the Lipschitz clas.s. Also, we introduce the r-th order generalization of these operators and we evaluate this generalization by the operators defined in this paper. Finally, we give an application to diffeiential equations. Copyright © 2012, Charles Babbage Research Centre All rights reserved.