The generalization of bivariate MKZ operators by multiple generating functions

Tasdelen F., Erencin A.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.331, sa.1, ss.727-735, 2007 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 331 Sayı: 1
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.jmaa.2006.09.024
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.727-735
  • Anahtar Kelimeler: positive linear operators, Volkov type theorem, bivariate Meyer-Konig and Zeller operators, modified Lipschitz class, modulus of continuity, ZELLER OPERATORS, MEYER-KONIG, POSITIVE OPERATORS, VARIANT
  • Ankara Üniversitesi Adresli: Evet

Özet

In the present paper, we study approximation properties of multiple generating functions type bivariate Meyer-Konig and Zeller (MKZ) operators with the help of Volkov type theorem. We compute the order of convergence of these operators by means of modulus of continuity and the elements of modified Lipschitz class. Finally, we give application to partial differential equations. (c) 2006 Elsevier Inc. All rights reserved.