Matrix transformation of Fibonacci band matrix on generalized $bv$-space and its dual spaces

The Generalized Pascal Matrix via the Generalized Fibonacci Matrix and the Generalized Pell Matrix

In [4], the authors studied the Pascal matrix and the Stirling matrices of the first kind and the second kind via the Fibonacci matrix. In this paper, we consider generalizations of Pascal matrix, Fibonacci matrix and Pell matrix. And, by using Riordan method, we have factorizations of them. We, also, consider some combinatorial identities.

Dual Spaces of Generalized Cesaro Sequence Space and Related Matrix Mapping

ABTRACT: In this paper we define the generalized Cesaro sequence spaces ces(p, q, s). We prove the space ces(p, q, s) is a complete paranorm space. In section-2 we determine its Kothe-Toeplitz dual. In section-3 we establish necessary and sufficient conditions for a matrix A to map ces p, q, s to l∞ and ces(p, q, s) to c, where l∞ is the space of all bounded sequences and c is the space of all ...

Matrix Transformations between the Sequence Space Bv P and Certain Bk Spaces

Identities via Bell matrix and Fibonacci matrix

In this paper, we study the relations between the Bell matrix and the Fibonacci matrix, which provide a unified approach to some lower triangular matrices, such as the Stirling matrices of both kinds, the Lah matrix, and the generalized Pascal matrix. To make the results more general, the discussion is also extended to the generalized Fibonacci numbers and the corresponding matrix. Moreover, ba...

Some properties of band matrix and its application to the numerical solution one-dimensional Bratu's problem

A Class of new methods based on a septic non-polynomial spline function for the numerical solution one-dimensional Bratu's problem are presented. The local truncation errors and the methods of order 2th, 4th, 6th, 8th, 10th, and 12th, are obtained. The inverse of some band matrixes are obtained which are required in proving the convergence analysis of the presented method. Associated boundary f...