The purpose of this article is to survey recent results on distributional properties of random binary search trees. In particular we consider the profile and the height.

A function which transforms a continuous random variable such that it has specified distribution is called replicating function. We suppose functions may be assigned price, and study an optimization problem in the cheapest approximation to sought. Under suitable regularity conditions, including bound on entropy of set candidate approximations, we show optimal comes close achieving distributiona...

Kurzweil and Henstock presented the notion of Gauge integral, independently. Using their definition Savas Patterson examined relationship between integral Summability theory. Because esoteric both theory, body literature is limited. As such only accessible to theories Pringsheim limits. The goal this paper present a natural multidimensional extension theory via methods. To accomplish we examine...