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Theorems of the Alternative for Systems of Convex InequalitiesSystems of convex inequalities in function spaces are considered. Solvability conditions
THE IMPACT OF SELECTIVE CONVEXITY ON THE STRUCTURES OF PRODUCTION FUNCTIONS IN DATA ENVELOPMENT ANALYSIS at the same time. The production possibility set (PPS) of the DEA models is convex, and the PPS of the FDH
Positivity of sums and integrals for n-convex functions via the Fink identityWe consider the positivity of the sum Σ i=1 ; n ρ i F(ξ i ), where F is a convex function of higher
Solution method for monotone mixed variational inequalities regularization and a descent technique over a gap (merit) function. The same uniformly convex auxiliary function
On operator monotone and operator convex functions© 2016, Allerton Press, Inc.We establish monotonicity and convexity criteria for a continuous
A note on definition of matrix convex functionsWe prove that a real-valued function f defined on an interval S in R is matrix convex if and only
A Method of Local Convex Majorants for Solving Variational-Like InequalitiesA Method of Local Convex Majorants for Solving Variational-Like Inequalities
On the Coefficients of Quasiconformality for Convex Functions computed the quantity kf(r) for some convex functions. These examples led them to the conjecture that kf (r
Generalized Jensen’s functional on time scales via extended Montgomery identityIn the paper, we use Jensen’s inequality for diamond integrals and generalize it for n-convex
Hermite-hadamard type integral inequalities for convex functions and their applicationsHermite-hadamard type integral inequalities for convex functions and their applications
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