Statistical approximation in the space of locally integrable functions

Duman O., Orhan C.

PUBLICATIONES MATHEMATICAE-DEBRECEN, cilt.63, sa.1-2, ss.133-144, 2003 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 63 Sayı: 1-2
  • Basım Tarihi: 2003
  • Dergi Adı: PUBLICATIONES MATHEMATICAE-DEBRECEN
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.133-144
  • Anahtar Kelimeler: A-statistical convergence, sequence of positive linear operators, the Korovkin type theorem, LP-SPACES, KOROVKIN THEOREMS, CONVERGENCE, SUMMABILITY
  • Ankara Üniversitesi Adresli: Hayır

Özet

In this paper, using A-statistical convergence, we prove a Korovkin type approximation theorem which deals with the problem of approximating a function f by a sequence {T-n(f;x)} of positive linear operators over the weighted space of locally integrable functions.