Approximation of lower bound for matrix operators on the weighted sequence space $C_{p}^r(w)(p \in (0,1))$

Abstract

Let A = (a n,k ) n,k≥0 be a non-negative matrix. We denote by L p (w),C r q (w) (A) the supremum of those , satisfying the following inequality:

Approximation of upper bound for matrix operators on the Fibonacci weighted sequence spaces

“…The main purpose of the present section, following [5][6][7][8][9][10][11], is to introduce the Fibonacci weighted sequence space F w, p and is to derive some inclusion relations Downloaded by [New York University] at 09:37 25 July 2015 Linear and Multilinear Algebra 3 concerning this space. The Fibonacci weighted sequence space is defined as below:…”