The L-theory of solutions of the homogeneous A-harmonic equation d A x, dω 0 for differential forms has been very well developed in recent years. Many L-norm estimates and inequalities, including the Hardy-Littlewood inequalities, Poincaré inequalities, Caccioppoli-type estimates, and Sobolev imbedding inequalities, for solutions of the homogeneous A-harmonic equation have been established; see...

an operator associated with the wright function is introduced in the open unit disk. differential subordination and superordination results associated with this operator are obtained by investigating appropriate classes of admissible functions. in particular, some inequalities for modified bessel functions are also obtained.

In this paper, we obtain some Rosenthal’s type inequalities for negatively orthant dependent (NOD) random variables.

We present a framework for information inequalities, namely, inequalities involving only Shannon’s information measures, for discrete random variables. A region in IR2 1, denoted by , is identified to be the origin of all information inequalities involving n random variables in the sense that all such inequalities are partial characterizations of . A product from this framework is a simple calc...

We introduce a class of projection-contraction methods for solving a class of general random implicit quasi-variational inequalities with random multivalued mappings in Hilbert spaces, construct some random iterative algorithms, and give some existence theorems of random solutions for this class of general random implicit quasi-variational inequalities. We also discuss the convergence and stabi...