Determination of the best constant in an inequality of Hardy, Littlewood, and Pólya.
Diamond- Jensen's inequality on time scales.
Difference of general integral means.
Differences of weighted mixed symmetric means and related results.
Differential estimate for -ary forms on closed orthants.
Discrete analogues of Wirtinger's inequality for a two-dimensional array
Discrete Inequalities of Generalized Wirtinger Type.
Discrete inequalities of Wirtinger's type for higher differences.
Discrete Sobolev and Poincaré inequalities for piecewise polynomial functions.
Distribution and rearrangement estimates of the maximal function and interpolation
There are given necessary and sufficient conditions on a measure dμ(x)=w(x)dx under which the key estimates for the distribution and rearrangement of the maximal function due to Riesz, Wiener, Herz and Stein are valid. As a consequence, we obtain the equivalence of the Riesz and Wiener inequalities which seems to be new even for the Lebesgue measure. Our main tools are estimates of the distribution of the averaging function f** and a modified version of the Calderón-Zygmund decomposition. Analogous...
Dokaz jedne nejednakosti J. Barkes-a
Domination in the families of Frank and Hamacher t-norms
Domination is a relation between general operations defined on a poset. The old open problem is whether domination is transitive on the set of all t-norms. In this paper we contribute partially by inspection of domination in the family of Frank and Hamacher t-norms. We show that between two different t-norms from the same family, the domination occurs iff at least one of the t-norms involved is a maximal or minimal member of the family. The immediate consequence of this observation is the transitivity...
Dragomir-Agarwal type inequalities for several families of quadratures.
Dual spaces of local Morrey-type spaces
In this paper we show that associated spaces and dual spaces of the local Morrey-type spaces are so called complementary local Morrey-type spaces. Our method is based on an application of multidimensional reverse Hardy inequalities.
Duality and best constant for a Trudinger–Moser inequality involving probability measures