On the triangle inequality in quasi-Banach spaces.
On the utility of the Telyakovskiĭ's class .
On the weighted Ostrowski inequality.
On the zeros of the polynomials of Legendre
On three inequalities similar to Hardy-Hilbert's integral inequality.
On Volterra inequalities and their applications.
On weak type inequalities for rare maximal functions
The properties of rare maximal functions (i.e. Hardy-Littlewood maximal functions associated with sparse families of intervals) are investigated. A simple criterion allows one to decide if a given rare maximal function satisfies a converse weak type inequality. The summability properties of rare maximal functions are also considered.
On weighted dyadic Carleson's inequalities.
On weighted Hardy and Poincaré-type inequalities for differences.
On weighted Hardy inequalities on semiaxis for functions vanishing at the endpoints.
On weighted inequalities with geometric mean operator generated by the Hardy-type integral transform.
On weighted inequality of Hardy type for higher order derivatives
On weighted norm integral inequality of g. h. Hardy's type
On weighted Ostrowski type inequalities for operators and vector-valued functions.
On Young's inequality.
One method for proving inequalities by computer.
Opial inequalities on time scales
We present a version of Opial's inequality for time scales and point out some of its applications to so-called dynamic equations. Such dynamic equations contain both differential equations and difference equations as special cases. Various extensions of our inequality are offered as well.
Opial type -inequalities for fractional derivatives.
Opial's type inequalities on time scales and some applications
We prove some new Opial type inequalities on time scales and employ them to prove several results related to the spacing between consecutive zeros of a solution or between a zero of a solution and a zero of its derivative for second order dynamic equations on time scales. We also apply these inequalities to obtain a lower bound for the smallest eigenvalue of a Sturm-Liouville eigenvalue problem on time scales. The results contain as special cases some results obtained for second order differential...
Optimal bounds of restricted type for the Hardy operator minus the identity on the cone of radially decreasing functions
We find the norm of the Hardy operator minus the identity acting on the cone of radially decreasing functions on minimal Lorentz spaces (restricted type estimates).