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

Ilkhan, Merve/0000-0002-0831-1474WOS: 000503431300003Norm of an operator T : X -> Y is the best possible value of U 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)