Yarı Tamlık, Yarı Düzgün Yakınsaklık ve Korovkin Tipi Teoremler Üzerine

Yıl 2024, Cilt: 12 Sayı: 2, 100 - 109, 29.08.2024

Alper Erdem , Tuncay Tunç

https://doi.org/10.20290/estubtdb.1410365

Öz

Bu çalışmada neredeyse düzgün yakınsaklık, yarı düzgün yakınsaklık ve yarı tamlık kavramı gibi çeşitli yakınsaklık biçimlerine dayanan Korovkin tipi teoremler incelenmiştir. Yukarıda bahsedilen yakınsama türlerinin noktasal ve düzgün yakınsaklık arasında olduğu bilindiğinden, Korovkin teoreminde bu koşulların
hafifletilebileceği fark edilmiştir.

Anahtar Kelimeler

Function Sequences, Convergence, Exhaustiveness, Korovkin Theorem

ON SEMI-EXHAUSTIVENESS, SEMI-UNIFORM CONVERGENCE AND KOROVKIN-TYPE THEOREMS

Öz

In this study, we scrutinize the Korovkin-type theorems based on various forms of convergence, such as almost uniform convergence, semi-uniform convergence, and the concept of semi-exhaustiveness. Since it is known that the convergence types mentioned above are between point-wise and uniform convergence, it will be noticed that the circumstances can be mitigated in the Korovkin theorem.

Anahtar Kelimeler

Function Sequences, Convergence, Exhaustiveness, Korovkin Theorem

Kaynakça

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