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DISTANCE k-GRAPHS OF DIRECT POWERS OF A GRAPH: AN Lp-APPROACH
Hun Hee Lee 충북대학교 금융수학연구소 2013 금융수학연구소학술지 Vol.8 No.-
We will prove that the distance k-graph of the n-th direct power of any xed graph approximate the k-th Hermite poly- nomial of a standard normal variable as n ! 1. The key point of this approach is an Lp-space point of view.
Seung On Lee, Young Jin Pi, Sung Jun Yoem 충북대학교 금융수학연구소 2013 금융수학연구소학술지 Vol.8 No.-
In this note, we deal with discrete spaces and uniform convergence on metric spaces. At rst we dene some metrics which induce discrete topology on a nonempty set X, then study the completeness of discrete spaces and investigate the uniform continuity between discrete spaces.