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Application of the conditional gradient method to a network resource allocation problem with several classes of users and maximize the network profit, which gives a convex optimization problem with balance and capacity

Volumes of convex polyhedra in hyperbolic spacesVolumes of convex polyhedra in hyperbolic spaces

CQ-free optimality conditions for copositive programming problems with isolated immobile indicesWe apply our recent results on optimality for convex Semi-Infinite Programming problems to a

Cutting methods with updating approximation sets for solving nonlinear programming problems: summary of the dissertation to obtain the scientic degree of candidate of physics and mathematics: speciality 01.01.09 - discrete mathematics and mathematical cyberneticsCutting methods with updating approximation sets for solving nonlinear programming problems

One cutting plane algorithm using auxiliary functions© Published under licence by IOP Publishing Ltd.We propose an algorithm for solving a convex

A minimization method on the basis of embedding the feasible set and the epigraph of the convex nonsmooth function which belongs to the class of cutting-plane methods. During constructing

Estimates for integral means of hyperbolically convex functionsWe prove the Mejia-Pommerenke conjecture that the Taylor coefficients of hyperbolically convex

On operator monotone and operator convex functions© 2016, Allerton Press, Inc.We establish monotonicity and convexity criteria for a continuous

Analytic functions with polar and logarithmic singularities and locally convex boundary values at the infinity and generalize univalent convex functions defined in the exterior of the unit disc. We prove sharp

Remarks on the monotonicity and convexity of Jensen's function, + ∞). Moreover, Beckenbach [Amer. Math. Monthly, 53 (1946), 501. 505] proved further that Js(x) is a convex

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