Some inequalities for ( p , q ) $(p,q)$ -mixed volume

Some inequalities for the q-beta and the q-gamma functions via some q-integral inequalities

Some new inequalities for the q-gamma, the q-beta and the q-analogue of the Psi functions are established via some q-integral inequalities. In classical analysis, integral inequalities have been well-developed and leading to a wide variety of applications in mathematics and physics (see [11–13] and references therein). In a survey paper [4], Dragomir et al. used certain clever integral inequali...

Some Inequalities for Nilpotent Multipliers of Powerful p-Groups

Inequalities for mixed p - affine surface area ∗

We prove new Alexandrov-Fenchel type inequalities and new affine isoperimetric inequalities for mixed p-affine surface areas. We introduce a new class of bodies, the illumination surface bodies, and establish some of their properties. We show, for instance, that they are not necessarily convex. We give geometric interpretations of Lp affine surface areas, mixed p-affine surface areas and other ...

Some Representation Results for (P, Q)-Superlattices

On the the lattice (L,∨,∧) we construct the hyperoperations P ∨, Q ∧ as follows: a P ∨ b = a ∨ b ∨ P , a Q ∧ b = a∧ b∧Q. If the sets P,Q ⊆ L satisfy appropriate conditions, then (L, P ∨, Q ∧) is a superlattice. In this paper we give two representation results for (P,Q)-superlattices. The first result is an analog of the [1] representation result. The second result gives necessary and sufficient...

some inequalities for nilpotent multipliers of powerful p-groups