Related papers: A survey on the DDVV-type inequalities

Our aim is to study the effect of a continuous prescribed density variation on the propagation of ocean waves. More precisely, we derive KdV-type shallow water model equations for unidirectional flows along the Equator from the full…

A review of envisaged future quark transversity measurements is presented.

In this paper we defined $r-$convexity on the coordinates and we established some Hadamard-Type Inequalities.

This paper is a survey paper on old and recent results on direction problems in finite dimensional affine spaces over a finite field.

The "variance method" has been used to prove many classical inequalities in design theory and coding theory. The purpose of this expository note is to review and present some of these inequalities in a unified setting. I will also discuss…

In this note we prove a weighted version of the Khintchine inequalities.

In this paper, we are interested in investigating a weighted variant of Hermite-Hadamard type inequalities involving convex functionals. The approach undertaken makes it possible to refine and reverse certain inequalities already known in…

We revisit Hardy's inequality in the scope of regular Dirichlet forms following an analytical method. We shall give an alternative necessary and sufficient condition for the occurrence of Hardy's inequality. A special emphasis will be given…

This is an expository survey article on compound Du Val (cDV) singularities, with emphasis on recent homological approaches, including: noncommutative resolutions, tilting theory, contraction algebras, classification, derived categories,…

This is a survey on recent results regarding singularities that occur on higher dimensional stable varieties.

Several inequalities of Ostrowski-Gruss-type availabe in the literature are generalized by considering the weighted case of them. Involving the least concave majorant of the modulus of continuity we provide upper error bounds of such…

We formulate and discuss a conjecture which would extend a classical inequality of Bernstein.

We survey some recent progress in the theory of vector bundles on algebraic varieties and related questions in algebraic K-theory.

We survey on algebraically elliptic varieties in the sense of Gromov.

We establish various Hardy-type inequalities for the Dirichlet Laplacian in perturbed periodically twisted tubes of non-circular cross-sections. We also state conjectures about the existence of such inequalities in more general regimes,…

We provide an overview of the connections between Bell's inequalities and algebraic structure.

Utilizing the notion of positive multilinear mappings, we give some matrix inequalities. In particular, Choi--Davis--Jensen and Kantorovich type inequalities including positive multilinear mappings are presented.

In this paper, we establish some integral ineuqalities for n- times differentiable convex functions.

We present some recent results on the existence of solutions of the Schr\"odinger flows, and pose some problems for further research.

In this paper, one new classes of convex functions which is called MT-convex functions are given. We also establish some Hadamard-type inequalities.