Abstract versions of Korovkin theorems on modular spaces via statistical relative summation process for double sequences
Yazarlar (1)
Doç. Dr. Sevda YILDIZ Sinop Üniversitesi, Türkiye
Makale Türü Özgün Makale (ESCI dergilerinde yayınlanan tam makale)
Dergi Adı TBILISI MATHEMATICAL JOURNAL
Dergi ISSN 1875-158X Dergi Bilgileri (2020)
Dergi Tarandığı Indeksler ESCI
Makale Dili İngilizce Basım Tarihi 01-2020
Kabul Tarihi – Yayınlanma Tarihi 01-01-2020
Cilt / Sayı / Sayfa 13 / 1 / 139–156 DOI 10.32513/tbilisi/1585015226
Makale Linki http://tcms.org.ge/Journals/TMJ/Volume13/Volume13_1/Abstract/abstract13_1_12.html
UAK Araştırma Alanları
Matematiksel Analiz
Özet
In this paper, we studied the abstract versions of Korovkin type approximation theorems via statistical relative Summation process in modular spaces for double sequences. Then, we discuss the results which are obtained by special choice of the scale function and the matrix sequences and we give an application that shows our results are stronger than studied before. Finally, we study an extension to non-positive linear operators.
Anahtar Kelimeler
modular spaces | double sequence | matrix summability | statistical convergence | abstract Korovkin theorem