On some results involving the Čebyšev functional and its generalisations.
On some weighted inequalities of the qualitative theory of elliptic equations.
On the constants for some Sobolev imbeddings.
On the Kolmogorov-Stein inequality.
On the maximum modulus of a polynomial and its derivatives.
On the Opial-Olech-Beesack inequalities.
On the precise asymptotics of the constant in Friedrich's inequality for functions vanishing on the part of the boundary with microinhomogeneous structure.
On the self crossing six sided figure problem.
On the weighted Ostrowski inequality.
On Volterra inequalities and their applications.
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.
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).
Optimal embeddings of critical Sobolev-Lorentz-Zygmund spaces
We establish the embedding of the critical Sobolev-Lorentz-Zygmund space into the generalized Morrey space with an optimal Young function Φ. As an application, we obtain the almost Lipschitz continuity for functions in . O’Neil’s inequality and its reverse play an essential role in the proofs of the main theorems.
Ostrowski type inequalities for isotonic linear functionals.
Ostrowski type inequalities over balls and shells via a Taylor-Widder formula.
Ostrowski Type Inequalities over Spherical Shells
2000 Mathematics Subject Classification: 26D10, 26D15.Here are presented Ostrowski type inequalities over spherical shells. These regard sharp or close to sharp estimates to the difference of the average of a multivariate function from its value at a point.
Ostrowski type inequalities related to the generalized Baouendi-Grushin vector fields