Some nonlinear integral inequalities arising in differential equations.
Some nonlinear integral inequalities in two independent variables.
Some nonlinear integral inequalities on time scales.
Some nonlinear weakly singular integral inequalities with two variables and applications.
Some Opial, Lyapunov, and de la Valée Poussin inequalities with nonhomogeneous boundary conditions.
Some p.d.f.-free upper bounds for the dispersion and the quantity .
Some problems and solutions involving Mathieu's series and its generalizations.
Some properties of arithmetic means of real sequences
Some quadratic integral inequalities of first order
Some quadratic integral inequalities of Opial type
We derive and investigate integral inequalities of Opial type: , where h ∈ H, I = (α,β) is any interval on the real line, H is a class of absolutely continuous functions h satisfying h(α) = 0 or h(β) = 0. Our method is a generalization of the method of [3]-[5]. Given the function r we determine the class of functions s for which quadratic integral inequalities of Opial type hold. Such classes have hitherto been described as the classes of solutions of a certain differential equation. In this paper...
Some refinements and generalizations of Carleman's inequality.
Some remarks about a notion of rearrangement
Some remarks on a paper by A. McD. Mercer: “Polynomials and convex sequence inequalities” [JIPAM. J. Inequal. Pure Appl. Math. 6, 2005, no. 1, Paper No. 8, 4p., electronic only].
Some remarks on Hadamard's inequalities for convex functions.
Some Remarks on Inequalities of Landau and Kolmogorov.
Some remarks on results of Mortici
Some results on a generalized useful information measure.
Some retarded nonlinear integral inequalities in two variables and applications.
Some reverses of the Jensen inequality for functions of selfadjoint operators in Hilbert spaces.
Some sharp inequalities for Dirac type operators.