Extension of two inequalities of Payne.
Extensions and sharpenings of Jordan's and Kober's inequalities.
Extensions of an elementary geometric inequality.
Extensions of Hardy inequality.
Extensions of Popoviciu's inequality using a general method.
Extensions of several integral inequalities.
Extensions of the Hardy-Littlewood inequalities for Schwarz symmetrization.
Extensions of the Heisenberg-Weyl inequality.
Extrait d'une lettre adressée à M. Hermite
Extremal problems with polynomials.
Factorization of inequalities.
Fejér inequalities for Wright-convex functions.
Fejér-type inequalities. I.
First and second order Opial inequalities
Let , where k is a nonnegative kernel increasing in x, decreasing in y, and satisfying a triangle inequality. An nth-order Opial inequality has the form . Such inequalities can always be simplified to nth-order reduced inequalities, where the exponent . When n = 1, the reduced inequality is a standard weighted norm inequality, and characterizing the weights is easy. We also find necessary and sufficient conditions on the weights for second-order reduced Opial inequalities to hold.
First order interpolation inequalities with weights
Five integral inequalities; an inheritance from Hardy and Littlewood.
Fixed points in functional inequalities.
Four inequalities similar to Hardy-Hilbert's integral inequality.
Fourier restriction estimates to mixed homogeneous surfaces.
Fractional Hardy inequalities and visibility of the boundary
We prove fractional order Hardy inequalities on open sets under a combined fatness and visibility condition on the boundary. We demonstrate by counterexamples that fatness conditions alone are not sufficient for such Hardy inequalities to hold. In addition, we give a short exposition of various fatness conditions related to our main result, and apply fractional Hardy inequalities in connection with the boundedness of extension operators for fractional Sobolev spaces.