ON SUMMABILITY AND APPROXIMATING OPERATORS

İNCE İLARSLAN H. G., ATLIHAN Ö. G.

COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, cilt.63, sa.2, ss.181-188, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 63 Sayı: 2
  • Basım Tarihi: 2010
  • Dergi Adı: COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.181-188
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper we give some approximation results related to the classical Korovkin-type theorem for positive linear operators using matrix summability method which includes both convergence and almost convergence. This approach is motivated by the works of DUMAN, KHAN and ORHAN [(4)]. We also study rates of convergence by means of the modulus of continuity and elements of the Lipschitz class.