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Mutual bounds for Jensen-type operator inequalities related to higher order convexity related to convex functions of higher order. First we give several mutual bounds for the operator version
Invariant convex bodies for strongly elliptic systems. First, sufficient conditions for the invariance of convex bodies are obtained for linear systems without
Convex and set-valued analysis of two important parts of contemporary mathematics: convex and set-valued analysis. In the first part
On convex closed sets of measurable operatorsWe investigate "operator" intervals of three types and prove some convexity and closedness theorems
Geometric Properties of Integral Representations in the Inverse Problem of a Simple Layer Potential demonstrative convexity criterion as a bounded domain on the complex plane: belonging of a pair
GENERALIZED STEFFENSEN'S INEQUALITY BY MONTGOMERY IDENTITIES AND GREEN FUNCTIONS + 1)-convex functions and exponentially convex functions.
Volumes of convex polyhedra in hyperbolic spacesVolumes of convex polyhedra in hyperbolic spaces
Estimates for integral means of hyperbolically convex functionsWe prove the Mejia-Pommerenke conjecture that the Taylor coefficients of hyperbolically convex
Dual approach for a class of implicit convex optimization problems as a generalization of a convex optimization problem under arbitrary right-hand side constraint
On operator monotone and operator convex functions© 2016, Allerton Press, Inc.We establish monotonicity and convexity criteria for a continuous
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