Some New Multidimensional Hardy-type Inequalities With Kernels Via Convexity
Some nonlinear delay integral inequalities and their discrete analogues.
Some nonlinear integral inequalities on time scales.
Some Opial, Lyapunov, and de la Valée Poussin inequalities with nonhomogeneous boundary conditions.
Some quadratic integral inequalities of first order
Some quadratic integral inequalities of Opial type
We derive and investigate integral inequalities of Opial type: , where h ∈ H, I = (α,β) is any interval on the real line, H is a class of absolutely continuous functions h satisfying h(α) = 0 or h(β) = 0. Our method is a generalization of the method of [3]-[5]. Given the function r we determine the class of functions s for which quadratic integral inequalities of Opial type hold. Such classes have hitherto been described as the classes of solutions of a certain differential equation. In this paper...
Some remarks about a notion of rearrangement
Some retarded nonlinear integral inequalities in two variables and applications.
Some sharp inequalities for Dirac type operators.
Some weighted Hardy-type inequalities on anisotropic Heisenberg groups.
Some weighted sum and product inequalities in spaces and their applications.
Spectral study of a self-adjoint operator on related with a Poincaré type constant
Subelliptic Poincaré inequalities: the case p < 1.
We obtain (weighted) Poincaré type inequalities for vector fields satisfying the Hörmander condition for p < 1 under some assumptions on the subelliptic gradient of the function. Such inequalities hold on Boman domains associated with the underlying Carnot- Carathéodory metric. In particular, they remain true for solutions to certain classes of subelliptic equations. Our results complement the earlier results in these directions for p ≥ 1.
Sufficient conditions for weighted Gabushin inequalities
Sulle diseguaglianze di Wirtinger concernenti la derivata seconda
Symétrisation dans l'espace de Gauss.
Symmetrization and sharp Sobolev inequalities in metric spaces.
Symmetrization of functions and the best constant of 1-dim Sobolev inequality.
Système d'inégalités aux différences finies du type elliptique
The 123 theorem of Probability Theory and Copositive Matrices
Alon and Yuster give for independent identically distributed real or vector valued random variables X, Y combinatorially proved estimates of the form Prob(∥X − Y∥ ≤ b) ≤ c Prob(∥X − Y∥ ≤ a). We derive these using copositive matrices instead. By the same method we also give estimates for the real valued case, involving X + Y and X − Y, due to Siegmund-Schultze and von Weizsäcker as generalized by Dong, Li and Li. Furthermore, we formulate a version of the above inequalities as an integral inequality...