GRONWALL – BELLMAN – OU-IANG TYPE INEQUALITIES (Published)
In this paper we prove some retarded nonlinear inequalities which provide explicit bounds on unknown function. Applications are also given to illustrate the usefulness of one of our results.
Keywords: Boundedness, Explicit Bounds, Integral Inequalities, Retarded Equation
On a Survey of Uniform Integrability of Sequences of Random Variables (Published)
This paper presents explicitly a survey of uniformly integrable sequences of random variables. We also study extensively several cases and conditions required for uniform integrability, with the establishment of some new conditions needed for the generalization of the earlier results obtained by many scholars and researchers, noting the links between uniform integrability and pointwise convergence of a class of polynomial functions on conditional based.
Keywords: Boundedness, Convergence, Monotonicity, Sequences, Uniform Integrability