ON SEMI-EXHAUSTIVENESS, SEMI-UNIFORM CONVERGENCE AND KOROVKIN-TYPE THEOREMS-Reference-Cited by-同舟云学术

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

Published:2024-08-29 Issue:2 Volume:12 Page:100-109
ISSN:2667-419X
Container-title:Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler
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Author:

Erdem Alper¹^ORCID,Tunç Tuncay²^ORCID

Affiliation:

1. MERSİN ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ, MATEMATİK BÖLÜMÜ, MATEMATİK ANABİLİM DALI

2. MERSİN ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ, MATEMATİK BÖLÜMÜ

Abstract

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.

Publisher

Anadolu University Journal of Science and Technology – B Theoretical Sciences

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