A-statistical extension of the Korovkin type approximation theorem

Erkus E., Duman O.

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, cilt.115, sa.4, ss.499-508, 2005 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 115 Sayı: 4
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1007/bf02829812
  • Dergi Adı: PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.499-508
  • Anahtar Kelimeler: A-statistical convergence, positive linear operator, Korovkin theorem
  • Gazi Üniversitesi Adresli: Hayır

Özet

In this paper, using the concept of A-statistical convergence which is a regular (non-matrix) summability method, we obtain a general Korovkin type approximation theorem which concerns the problem of approximating a function f by means of a sequence {L(n)f} of positive linear operators.