On Relaxing the Identity Operator in Korovkin Theorem via Statistical Convergence

Yurdakadim, TUĞBA; Taş, Emre

doi:10.47000/tjmcs.1221861

On Relaxing the Identity Operator in Korovkin Theorem via Statistical Convergence

Yurdakadim T., Taş E.

Turkish Journal of Mathematics and Computer Science, cilt.15, sa.1, ss.180-183, 2023 (TRDizin)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 15 Sayı: 1
Basım Tarihi: 2023
Doi Numarası: 10.47000/tjmcs.1221861
Dergi Adı: Turkish Journal of Mathematics and Computer Science
Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM)
Sayfa Sayıları: ss.180-183
Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

An operator version of the Korovkin theorem has recently been obtained by D. Popa. With the motivation of this result, we have extended it by using a more powerful convergence which also includes ordinary convergence. We have also presented an example to illustrate the strength of our theorem.