Korovkin theorems on weighted spaces: revisited

ATLIHAN Ö. G., ÜNVER M., DUMAN O.

PERIODICA MATHEMATICA HUNGARICA, cilt.75, sa.2, ss.201-209, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 75 Sayı: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s10998-017-0187-y
  • Dergi Adı: PERIODICA MATHEMATICA HUNGARICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.201-209
  • Anahtar Kelimeler: Weighted approximation, Korovkin theorem, Statistical convergence, Summation process, Abel summability, POSITIVE LINEAR-OPERATORS, A-STATISTICAL CONVERGENCE, SUMMABILITY
  • Ankara Üniversitesi Adresli: Evet

Özet

In this note, using the idea of the late Professor Gadjiev (Mat Zametki 20(5):781-786, 1976), we give new, direct and easy proofs of the Korovkin theorems for positive linear operators acting on weighted spaces. Recent improvements and new applications are also presented.