Korovkin theorems on weighted spaces: revisited

ATLIHAN, ÖZLEM; ÜNVER, MEHMET; DUMAN, Oktay

doi:10.1007/s10998-017-0187-y

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, Scopus)

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.