In this paper, we introduce two variables norm functionals of τ-measurable operators and establish their joint log-convexity. Applications of this log-convexity will include interpolated Young, Heinz ...

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 ...

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 ...

This paper presents some inequalities for partial sums of bounded random variables which are analogous to the Kolmogoroff inequality for martingales. Conditions are given under which such inequalities ...

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 ...