Journal of Mahani Mathematical Research
Volume:1 Issue: 1, January 2012

The main purpose of this paper is to detemine the fine spectrum of the generalized difference operator Delta_{uv} over the sequence space c0. These results are more general than the fine spectrum of the generalized difference operator Delta_{uv} of Srivastava and Kumar.

Abstract. The largest class of hyperstructures is the one which satisfy the weak properties. These are called Hv-structures introduced in 1990 and they proved to have a lot of applications on several applied sciences. In this paper we present an introduction on the special classes of hyperstructures used inthe Lie-Santilli theory called e-hyperstructures. Several extensions of these hyperstructures are also presented

In this paper, The numerical solutions of the Klein-Gordon equa- tions using Legendre wavelets are investigated. The interest is in solving the problem using the wavelet basis due to its simplicity and e±ciency in numerical approximations. The approach of creating Legendre wavelets and their main properties were brie°y mentioned. Also, the numerical results were presented for demonstrating the validity and applicability of the current technique.