On Ostrowski-Grüss-Čebyšev type inequalities for functions whose modulus of derivatives are convex.
On Ostrowski-type inequalities for higher-order partial derivatives.
On overdetermined Hardy inequalities
Necessary and sufficient condition on the weights will be derived under which a -th order Hardy inequality holds on classes of functions satisfying more than “boundary” conditions.
On Ozeki's inequality.
On Ozeki’s inequality for power sums
Let be a real number and let be an even integer. We determine the largest value such that the inequality holds for all real numbers which are pairwise distinct and satisfy . Our theorem completes results of Ozeki, Mitrinović-Kalajdžić, and Russell, who found the optimal value in the case and odd, and in the case and even.
On Pečarić-Rajić-Dragomir-type inequalities in normed linear spaces.
On perturbed trapezoid inequalities.
On pointwise interpolation inequalities for derivatives
Pointwise interpolation inequalities, in particular, ku(x)c(Mu(x)) 1-k/m (Mmu(x))k/m, k<m, and |Izf(x)|c (MIf(x))Re z/Re (Mf(x))1-Re z/Re , 0<Re z<Re<n, where is the gradient of order , is the Hardy-Littlewood maximal operator, and is the Riesz potential of order , are proved. Applications to the theory of multipliers in pairs of Sobolev spaces are given. In particular, the maximal algebra in the multiplier space is described.
On quadrature rules, inequalities and error bounds.
On refinements of Aczél, Popoviciu, Bellman's inequalities and related results.
On refinements of certain inequalities for means
In this paper we obtain certain refinements (and new proofs) for inequalities involving means, results attributed to Carlson; Leach and Sholander; Alzer; Sndor; and Vamanamurthy and Vuorinen.
On relations of coefficient conditions.
On representation formulars for intermediate derivates.
On reverse Hardy's inequality.
On reverses of some inequalities in -inner product spaces.
On several new inequalities close to Hilbert-Pachpatte's inequality.
On Shafer and Carlson inequalities.
On Shafer-Fink-type inequality.
On Simpson's inequality and applications.
On some advanced integral inequalities and their applications.