Some sharp Simpson type inequalities and applications.
Some sublinear dynamic integral inequalities on time scales.
Some subordination criteria concerning the Sǎlǎgean operator.
Some weighted Hardy-type inequalities on anisotropic Heisenberg groups.
Some weighted multidimensional Berwald, Thunsdorff and Borell inequalities.
Some weighted sum and product inequalities in spaces and their applications.
Spaces defined by the level function and their duals
The classical level function construction of Halperin and Lorentz is extended to Lebesgue spaces with general measures. The construction is also carried farther. In particular, the level function is considered as a monotone map on its natural domain, a superspace of . These domains are shown to be Banach spaces which, although closely tied to spaces, are not reflexive. A related construction is given which characterizes their dual spaces.
Spectral inequalities involving the sums and products of functions.
Spectral study of a self-adjoint operator on related with a Poincaré type constant
Squaring a reverse AM-GM inequality
Let A, B be positive operators on a Hilbert space with 0 < m ≤ A, B ≤ M. Then for every unital positive linear map Φ, Φ²((A + B)/2) ≤ K²(h)Φ²(A ♯ B), and Φ²((A+B)/2) ≤ K²(h)(Φ(A) ♯ Φ(B))², where A ♯ B is the geometric mean and K(h) = (h+1)²/(4h) with h = M/m.
Steffensen pairs and associated inequalities.
Steffensen's integral inequality on time scales.
Stolarsky means of several variables.
Strengthened Cauchy-Schwarz and Hölder inequalities.
Subadditive functions and partial converses of Minkowski's and Mulholland's inequalities
Let ϕ be an arbitrary bijection of . We prove that if the two-place function is subadditive in then must be a convex homeomorphism of . This is a partial converse of Mulholland’s inequality. Some new properties of subadditive bijections of are also given. We apply the above results to obtain several converses of Minkowski’s inequality.
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.
Subharmonic functions and their Riesz measure.
Sufficient conditions for weighted Gabushin inequalities
Sulla diseguaglianza di Wirtinger
Sulle diseguaglianze di Wirtinger concernenti la derivata seconda