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.
Some Boas-Bellman type inequalities in 2-inner product spaces.
Some bounding inequalities for the Jacobi and related functions.
Some classical operators on Lorentz space.
Some companions of an Ostrowski type inequality and applications.
Some companions of the Grüss inequality in inner product spaces.
Some complements of Cauchy's inequality on time scales.
Some considerations on the monotonicity property of power means.
Some counterpart inequalities for a functional associated with Jensen's inequality.
Some cyclical inequalities for the triangle.
Some double integral inequalities and applications.
Some equivalent forms of the arithematic-geometric mean inequality in probability: A survey.
Some estimates of integrals with a composition operator.
Some estimations for the integral Taylor's remainder.
Some extensions of Hilbert's type inequality and its applications.
Some general means
Some general Ostrowski-Grüss type inequalities.
Some generalized convolution properties associated with certain subclasses of analytic functions.