A bound for certain bibasic sums and applications.
A Carlson type inequality with blocks and interpolation
An inequality, which generalizes and unifies some recently proved Carlson type inequalities, is proved. The inequality contains a certain number of “blocks” and it is shown that these blocks are, in a sense, optimal and cannot be removed or essentially changed. The proof is based on a special equivalent representation of a concave function (see [6, pp. 320-325]). Our Carlson type inequality is used to characterize Peetre’s interpolation functor (see [26]) and its Gagliardo closure on couples of...
A certain modification of Hardy's inequality
A characterization of a two-weight inequality for discrete two-dimensional Hardy operators.
A class of -conservative matrices.
A class of inequalities related to the angle bisectors and the sides of a triangle.
A class of logarithmically completely monotonic functions related to and an application.
A Class of Means and Related Inequalities.
A Cohen-type inequality for Jacobi-Sobolev expansions.
A conjecture of Schoenberg.
A continuous and a discrete variant of Wirtinger's inequality.
A converse inequality of Hölder type.
A converse of Minkowski's type inequalities.
A converse to some inequalities and approximations in the theory of Stieltjes and stochastic integrals, and for nth derivatives
A discrete Euler identity.
A discrete Hardy-Laptev-Weidl-type inequality and associated Schrödinger-type operators.
A discrete version of an open problem and several answers.
A double inequality for gamma function.
A functional inequality characterizing convex functions, conjugacy and a generalization of Hölder's and Minkowski's inequalities.
A General Inequality for Means