On Multivariate Grüss Inequalities

Some generalized Ostrowski-Grüss type integral inequalities

Grüss type inequalities for double integrals on time scales

We prove some weighted Grüss type inequalities for double integrals on time scales and unify the corresponding continuous and discrete versions, which are the generalizations of the results proved earlier in the literature

On Multivariate Grüss Inequalities

provided that f and g are two integrable functions on a, b such that p ≤ f x ≤ P , q ≤ g x ≤ Q, for all x ∈ a, b , where p, P, q, Q are real constants. Many generalizations, extensions, and variants of this inequality 1.1 have appeared in the literature, see 1–8 and the references given therein. The main purpose of the present paper is to establish several multivariate Grüss integral inequaliti...

On multivariate Newton-like inequalities

We study multivariate entire functions and polynomials with non-negative coefficients. A class of Strongly Log-Concave entire functions, generalizingMinkowski volume polynomials, is introduced: an entire function f in m variables is called Strongly Log-Concave if the function (∂x1) c1 ...(∂xm) mf is either zero or log((∂x1) c1 ...(∂xm) mf) is concave on R + . We start with yet another point of ...

Inequalities for Multivariate Polynomials

We summarize researches – in great deal jointly with my host Y. Sarantopoulos and his PhD students V. Anagnostopoulos and A. Pappas – started by a Marie Curie fellowship in 2001 and is still continuing. The project was to study multivariate polynomial inequalities. In the course of work we realized the role of the “generalized Minkowski functional”, to which we devoted a throughout survey. Resu...