On Some Fundamental Integral and Finite Difference Inequalities in Three Variables (Report‪)‬

1. Introduction During the past few decades, explicit bounds on a number of new integral and finite difference inequalities are considered and used in a variety of applications. For a detailed account on such inequalities and large number of applications, see [1,2,4-6] and the references cited therein. Although, an enormous amount of attention has been given to such inequalities, it is easy to check that the bounds available in the literature are not directly applicable to study the qualitative behavior of solutions of equations of the forms