Norms and lower bounds of some matrix operators on Fibonacci weighted difference sequence space
Yükleniyor...
Dosyalar
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Wiley
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Norm of an operator T : X -> Y is the best possible value of U satisfying the inequality parallel to Tx parallel to(Y) <= U parallel to x parallel to(X), and lower bound for T is the value of L satisfying the inequality parallel to Tx parallel to(Y) >= L parallel to x parallel to(X), where parallel to.parallel to(X) and parallel to.parallel to(Y) are the norms on the spaces X and Y, respectively. The main goal of this paper is to compute norms and lower bounds for some matrix operators from the weighted sequence space. l(p)(w) into a new space called as Fibonacci weighted difference sequence space. For this purpose, we firstly introduce the Fibonacci difference matrix (F) over tilde and the space consisting of sequences whose (F) over tilde -transforms are in l(p)((w) over tilde).
Açıklama
Ilkhan, Merve/0000-0002-0831-1474
WOS: 000503431300003
WOS: 000503431300003
Anahtar Kelimeler
Fibonacci numbers, matrix operators, quasi summable matrices, sequence spaces
Kaynak
Mathematical Methods In The Applied Sciences
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
42
Sayı
16