A survey on Cauchy-Bunyakovsky-Schwarz type discrete inequalities.
A trilinear restriction problem for the paraboloid in .
A two-sided estimate of .
A unified approach to several inequalities involving functions and derivatives
There are many inequalities measuring the deviation of the average of a function over an interval from a linear combination of values of the function and some of its derivatives. A general setting is given from which the desired inequalities are obtained using Hölder’s inequality. Moreover, sharpness of the constants is usually easy to prove by studying the equality cases of Hölder’s inequality. Comparison of averages, extension to weighted integrals and -dimensional results are also given.
A unified treatment of some sharp inequalities.
A variant of a general inequality of the Hardy-Knopp type.
A variant of Jensen's inequality.
A variant of Jensen-Steffensen's inequality for convex and superquadratic functions.
A variant of Jessen's inequality and generalized means.
A variant of Jessen's inequality of Mercer's type for superquadratic functions.
A weighted inequality for the Hardy operator involving suprema
Let be a weight on . Assume that is continuous on . Let the operator be given at measurable non-negative function on by We characterize weights on for which there exists a positive constant such that the inequality holds for every . Such inequalities have been used in the study of optimal Sobolev embeddings and boundedness of certain operators on classical Lorenz spaces.
About a non-homogeneous Hardy-inequality and its relation with the spectrum of Dirac operators
A non-homogeneous Hardy-like inequality has recently been found to be closely related to the knowledge of the lowest eigenvalue of a large class of Dirac operators in the gap of their continuous spectrum.
About an intermediate point property in some quadrature formulas.
About the use of a result of Professor Alexandru Lupaş to obtain some properties in the theory of the number .
Abstract convexity and Hermite-Hadamard type inequalities.
Abstract separation theorems of Rodé type and their applications
Sufficient and necessary conditions are presented under which two given functions can be separated by a function Π-affine in Rodé sense (resp. Π-convex, Π-concave). As special cases several old and new separation theorems are obtained.
Accentuate the negative
A survey of mean inequalities with real weights is given.
Additions to the Telyakovskiĭ's class .
An addition to factorization of inequalities.
An algebraic inequality.