A revisited Tauberian theorem for which slow decrease with respect to a weight function is a tauberian condition for the weighted mean summability of integrals over R+
Küçük Resim Yok
Tarih
2021
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
. In this extended abstract, we present an alternative proof of a Tauberian theorem of slowly decreasing type with respect to the weight function due to Karamata [5] for the weighted mean summable real-valued integrals over R+ := [0, ?). Some particular choices of weight functions provide alternative proofs of some well-known Tauberian theorems given for several important summability methods.
Açıklama
Anahtar Kelimeler
Weighted mean method of summability, Tauberian conditions and theorems, slow decrease with respect to a weight function
Kaynak
Fourth International Conference of Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Çanak, İ. (2021). A revisited Tauberian theorem for which slow decrease with respect to a weight function is a tauberian condition for the weighted mean summability of integrals over R+. Fourth International Conference of Mathematical Sciences, Maltepe Üniversitesi. s. 1-2.
