Tauberian conditions under which convergence follows from cesàro summability of double integrals over r2+
Küçük Resim Yok
Tarih
2019
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
University of Nis
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
For a real-or complex-valued continuous function f over R2+:= [0, ?) × [0, ?), we denote its integral over [0, u] × [0, v] by s(u, v) and its (C, 1, 1) mean, the average of s(u, v) over [0, u] × [0, v], by ?(u, v). The other means (C, 1, 0) and (C, 0, 1) are defined analogously. We introduce the concepts of backward differences and the Kronecker identities in different senses for double integrals over R2+. We give one-sided and two-sided Tauberian conditions based on the difference between double integral of s(u, v) and its means in different senses for Cesàro summability methods of double integrals over [0, u] × [0, v] under which convergence of s(u, v) follows from integrability of s(u, v) in different senses. © 2019, University of Nis. All rights reserved.
Açıklama
Anahtar Kelimeler
(C,1,0) and (C,0,1), Cesàro summability (C,1,1), Convergence in Pringsheim’s sense, Improper double integral, One-sided and two-sided Tauberian conditions, Slow decrease and strong slow decrease in different senses, Slow oscillation and strong slow oscillation in different senses
Kaynak
Filomat
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
33
Sayı
11
