Necessary and sufficient tauberian conditions under which convergence follows from Ar,? summability
Küçük Resim Yok
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
We say that (xmn) is (A r,? , 1, 1) summable to l if the sequence (? r,? mn(x)) has a finite limit l. It is known that if limm,n?? xmn = l and (xmn) is bounded, then the limit limm,n?? ? r,? mn(x) = l exists. But the inverse of this implication is not true in general. Our aim is to obtain necessary and sufficient conditions for (A r,? , 1, 1) summability method under which the inverse of this implication holds. Following Tauberian theorems for (A r,? , 1, 1) summability method, we also define A r and A ? transformations of double sequences and obtain Tauberian theorems for the (A r,? , 1, 0) and (A r,? , 0, 1) summabillity methods.
Açıklama
Anahtar Kelimeler
Pringsheim’s convergence, Slow decrease and slow oscillation in different senses, Tauberian conditions and theorems
Kaynak
International Conference of Mathematical Sciences (ICMS 2019)
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Kambak, Ç. ve Çanak, İ. (2019). Necessary and sufficient tauberian conditions under which convergence follows from Ar,? summability. International Conference of Mathematical Sciences (ICMS 2019). s. 66.
