Series of positive terms
Sesquiregular Measures in Product Spaces and Convolution of Such Measures
Several discrete inequalities for convex functions.
Several integral inequalities.
Several new perturbed Ostrowski-like type inequalities.
Several refinements and counterparts of Radon's inequality
We establish that the inequality of Radon is a particular case of Jensen's inequality. Starting from several refinements and counterparts of Jensen's inequality by Dragomir and Ionescu, we obtain a counterpart of Radon's inequality. In this way, using a result of Simić we find another counterpart of Radon's inequality. We obtain several applications using Mortici's inequality to improve Hölder's inequality and Liapunov's inequality. To determine the best bounds for some inequalities, we used Matlab...
Sharp constants for some inequalities connected to the -Laplace operator.
Sharp Grüss-type inequalities for functions whose derivatives are of bounded variation.
Sharp Hardy-Sobolev inequalities with general weights and remainder terms.
Sharp integral inequalities for products of convex functions.
Sharp integral inequalities involving high-order partial derivatives.
Sharp -weighted Sobolev inequalities
We prove sharp weighted inequalities of the formwhere is a differential operator and is a combination of maximal type operator related to and to .
Sharpening and generalizations of Shafer's inequality for the arc tangent function.
Sharpening of Jordan's inequality and its applications.
Sharpening the Becker-Stark inequalities.
Short proofs of some inequalities of Horst Alzer
We provide elementary proofs of some inequalities of Horst Alzer.
Simmetrizzazione e disuguaglianze di tipo Pòlya-Szegö
Si presentano alcuni risultati recenti riguardanti la disuguaglianza di Pòlya- Szegö e la caratterizzazione dei casi in cui essa si riduce ad un'uguaglianza. Particolare attenzione viene rivolta alla simmetrizzazione di Steiner di insiemi di perimetro finito e di funzioni di Sobolev.
Sobolev and isoperimetric inequalities for degenerate metrics.
Sobolev inequalities for probability measures on the real line
We give a characterization of those probability measures on the real line which satisfy certain Sobolev inequalities. Our starting point is a simpler approach to the Bobkov-Götze characterization of measures satisfying a logarithmic Sobolev inequality. As an application of the criterion we present a soft proof of the Latała-Oleszkiewicz inequality for exponential measures, and describe the measures on the line which have the same property. New concentration inequalities for product measures follow....
Some aspects of convex functions and their applications.