L-p-approximation via Abel convergence

Ozguc I.

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, cilt.22, sa.2, ss.271-279, 2015 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 2
  • Basım Tarihi: 2015
  • Dergi Adı: BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.271-279
  • Anahtar Kelimeler: Abel convergence, sequence of positive linear operators, Korovkin type theorem, modulus of smoothness, rate of Abel convergence, POSITIVE LINEAR-OPERATORS, THEOREMS, SPACES
  • Ankara Üniversitesi Adresli: Hayır

Özet

In the present paper, using the concept of the Abel convergence method, we give a Korovkin type approximation theorem for a sequence of positive linear operators acting from L-p [a, b] into itself. We also study some quantitative estimates for L-p approximation via Abel convergence.