On a Class of Nonconvex Problems Where all Local Minima are Global
On a new class of refined discrete Hardy-type inequalities.
On an inequality of V. Csiszár and T.F. Móri for concave functions of two variables.
On an upper bound for Jensen's inequality.
On Contractibility of the Operator i-t Nabla f
On co-ordinated quasi-convex functions
A function , where is an interval, is said to be a convex function on if holds for all and . There are several papers in the literature which discuss properties of convexity and contain integral inequalities. Furthermore, new classes of convex functions have been introduced in order to generalize the results and to obtain new estimations. We define some new classes of convex functions that we name quasi-convex, Jensen-convex, Wright-convex, Jensen-quasi-convex and Wright-quasi-convex functions...
On -preinvex-type functions.
On generalized derivatives for vector optimization problems.
On generalized preinvex functions and monotonicities.
On Hadamard's inequality on a disk.
On jensen type inequalities with ordered variables.
On Locally Subadditive Functions
On midpoint convex set-valued functions.
On new inequalities of Hadamard-type for Lipschitzian mappings and their applications.
On relations among the generalized second-order directional derivatives
In the paper, we deal with the relations among several generalized second-order directional derivatives. The results partially solve the problem which of the second-order optimality conditions is more useful.
On Schur convexity of some symmetric functions.
On semiconvexity properties of rotationally invariant functions in two dimensions
Let be a function defined on the set of all by matrices that is invariant with respect to left and right multiplications of its argument by proper orthogonal matrices. The function can be represented as a function of the signed singular values of its matrix argument. The paper expresses the ordinary convexity, polyconvexity, and rank 1 convexity of in terms of its representation
On strongly generalized preinvex functions.
On the abstract Hahn-Banach theorem due to Rodé.
On the composition of quasiconvex functions and the transposition.