Norms and lower bounds of some matrix operators on Fibonacci weighted difference sequence space

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Küçük Resim

Tarih

2019

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

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

Künye