Strongly quasiconvex quadratic functions.
Structural properties of singularities of semiconcave functions
The calculus of operator functions and operator convexity [Book]
The distance between subdifferentials in the terms of functions
For convex continuous functions defined respectively in neighborhoods of points in a normed linear space, a formula for the distance between and in terms of (i.eẇithout using the dual) is proved. Some corollaries, like a new characterization of the subdifferential of a continuous convex function at a point, are given. This, together with a theorem from [4], implies a sufficient condition for a family of continuous convex functions on a barrelled normed linear space to be locally uniformly...
The Schur-harmonic-convexity of dual form of the Hamy symmetric function
The sum of two plane convex C... sets is not always C...
The use of conjugate convex functions in complex analysis
Transformations which preserve convexity.
Two new mappings associated with inequalities of Hadamard-type for convex functions.
Une famille d’inégalités pour les ensembles convexes du plan
Nous considérons une famille de fonctions ne dépendant que de la forme d’un ensemble convexe du plan. Nous en donnons des majorations faisant intervenir le plus petit rapport des rayons des couronnes qui contiennent la frontière de ce convexe.
Weighted multidimensional inequalities for monotone functions
We discuss the characterization of the inequality (RN+ fq u)1/q C (RN+ fp v )1/p, 0<q, p <, for monotone functions and nonnegative weights and and . We prove a new multidimensional integral modular inequality for monotone functions. This inequality generalizes and unifies some recent results in one and several dimensions.
Well behaved asymptotical convex functions
Whitney covers and quasi-isometry of -averaging domains.
О критерии выпуклости положительно однородной функции
О производных по направлениям квазивыпуклых функционалов
Опыт решения модельных задач минимизации -субградиентным методом
Субградиентный метод отыскания седловой точки выпукло-вогнутой функции
Экстремальные выпуклые функции.