Abel Convergence of the Sequence of Positive Linear Operators in L-p,L-q (loc)

Bayram N. S., ORHAN C.

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, cilt.26, sa.1, ss.71-83, 2019 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 1
  • Basım Tarihi: 2019
  • Dergi Adı: BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.71-83
  • Anahtar Kelimeler: Abel convergence, positive linear operators, locally integrable functions, Korovkin type theorem, modulus of continuity, rate of abel convergence, KOROVKIN-TYPE, THEOREMS
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we study a Korovkin type approximation theorem for a sequence of positive linear operators acting from L-p,L-q (loc) into itself with the use of Abel method which is a sequence-to-function transformation. Using the modulus of continuity for L-p,L-q (loc) we also give the rate of Abel convergence of these operators.