ABSTRACT: The goal of the present paper is to establish some new approach on the basic integral inequality of Gronwall-Bellman type and its generalizations involving function of one independent ...
This paper contains inequalities for the expectations of permutation-invariant concave functions and Schur-concave functions of the partial sums of nonnegative exchangeable random variables. Two ...
Proceedings of the American Mathematical Society, Vol. 104, No. 1 (Sep., 1988), pp. 221-226 (6 pages) A moment inequality is proved for sums of independent random ...
ABSTRACT: In this paper, we study to solve two additive (ξ1,ξ2)-functional inequalities with 3k-variables and their Hyers-Ulam stability: First are investigated in complex Banach spaces with a fixed ...
Abstract: It is known that information inequalities on four random variables cannot be generated from a finite list. For the analogous case of linear rank variables, it is known that they can be ...