On some n-normed sequence spaces
1 Department of Mathematics, Gauhati University, Guwahati, Assam 781014, India
2 Department of Mathematics, Yazd University, Yazd 89158, Iran
Mathematical Sciences 2012, 6:56 doi:10.1186/2251-7456-6-56Published: 24 October 2012
In this paper, we introduce the idea of constructing sequence spaces with elements in an n-norm space in comparison with the spaces c0, c, ℓ∞and the Orlicz space ℓMand extend the notion of n-norm to such spaces. Further we state and define some statements about the n-best approximation in n-normed spaces.