In this paper, a strong limit theorem on gambling strategy for binary Bernoulli sequence, (i.e.) irregularity theorem, is extended to random selection for dependent m-valued random variables, via using a new method-di...
In this paper, we defined a new continuity of supporting function and studyed a new convexity, smoothness of Banach Space and from this we studyed the relations among such convexity, smoothness and differentiability o...