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In this paper, we provide a q-analogue of an open problem posed by Q. A. Ng?et al. in the paper, Note on an integral inequality, J. Inequal. Pure and Appl. Math., 7(4)(2006), Art. 120, by using analyt...
In this article we improve two well known bounds for the roots of polynomials with complex coefficients. Our method is algebraic, unitary and was used among others by L. Panaitopol and D. Stefanescu.
On Quadrature Rules, Inequalities and Error Bounds
Approximate integration Quadrature rules Convex functions of higher order
2010/1/22
The order structure of the set of six operators connected with quadrature rules is established in the class of 5-convex functions. An error bound of the Lobatto quadrature rule with five knots is g...
In this paper, we provide some Feng Qi type q-Integral Inequalities, by using analytic and elementary methods in Quantum Calculus.
Strong Convergence Theorems by an Extragradient Method for Solving Variational Inequalities and Equilibrium Problems in a Hilbert Space
Nonexpansive mapping Equilibrium problem Fixed point Lipschitz-continuous mappings Variational inequality Extragradient method
2010/2/25
In this paper, we introduce an iterative process for finding the common element of the set of fixed points of a nonexpansive mapping, the set of solutions of an equilibrium problem and the set of solu...
Strict Feasibility of Variational Inequalities in Reflexive Banach Spaces
variational inequalities well-positioned sets barrier cone strict feasibility stably properly quasi\-monotone
2007/12/11
Strict feasibility is proved to be an equivalent characterization of (dual) variational inequalities having a nonempty bounded solution set, provided the mappings involved are stably properly quasi\-m...
Lyapunov-type Inequalities for Certain Nonlinear Systems on Time Scales
Nonlinear systems Hamiltonian systems Lyapunov - type inequality Discongugacy Generalized zero Time Scale
2010/2/25
In this study, we prove Lyapunov-type inequalities for certain nonlinear systems on an arbitrary time scale T by using elementary time scale calculus. These inequalities enable us to obtain a criterio...