Norms Of Hankel-Hessenberg and Toeplitz-Hessenberg Matrices Involving Pell and Pell-Lucas Numbers
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2016, Vol 12, Issue 11
Abstract
We derive some sum formulas for the squares of Pell and Pell-Lucas numbers. We construct Hankel-Hessenberg andToeplitz-Hessenberg matrices whose entries in the first column are HHP = aij , ij i j a Pï€ = ; Q HH =   ij a , ij i j a Qï€ =and P TH =   ij a , 1 = ij iï€ j a P ; Q TH =   ij a , 1 = ij iï€ j a Q , respectively where n P and n Q denote the usual Pell and Pell-Lucas numbers. Then, we found upper and lower bounds for spectral norm of these matrices.
Authors and Affiliations
Hasan GÖKBAS
Some Universal Constructions For I- Fuzzy Topological Spaces
Geetha S. [J. Math. Anal. Appl. 174 (1993), 147-152] has introduced the concept of I-fuzzy topological spaces X,mu,F)where X is an ordinary set, mu is a fuzzy set in X and F is a family of fuzzy sets in X satisfyin...
An iterative method for solving boundary value problems for second order differential equations
The purpose of this paper is to investigate the application of the Adomian decomposition method (ADM) for solving boundary value problems for second-order differential equations with Robin boundary conditions. We first r...
On a two (nonlocal) point boundary value problem of arbitrary (fractional) orders integro-differential equation
Here we study the existence of solutions of the functional integral equation:  ...
Oscillation of third order Impulsive Differential Equations with delay
This paper deals with the oscillation of third order impulsive differential equations with delay. The results of this paper improve and extend some results for the differential equations without impulses. Some examp...
Probabilistic Inventory Model Multi-Source Backlogged Probabilistic Inventory Model for Crisp and Fuzzy Environment
This paper proposed a multi-item multi-source probabilistic periodic review inventory model under a varying holding cost constraint with zero lead time when: (1) the stock level decreases at a uniform rate over the cycle...