New Jensen-type inequalities
We develop a new framework for the Jensen-type inequalities that allows us to deal with functions not necessarily convex and Borel measures not necessarily positive.
math.CA↗
arXiv subjects
Constantin P. Niculescu
Publications and source records attributed to Constantin P. Niculescu.
Majorization in spaces with a curved geometry
The Hardy-Littlewood-P?olya majorization theorem is extended to the framework of some spaces with a curved geometry (such as the global NPC spaces and the Wasserstein spaces). We also discuss the connection between our concept of majorization and the subject of Schur convexity.
math.MG↗
Some open problems concerning the convergence of positive series
We discuss some old results due to Abel and Olivier concerning the convergence of positive series and prove a set of necessary conditions involving convergence in density.
math.CA↗
Generalized convexity and the existence of finite time blow-up solutions for an evolutionary problem
In this paper we study a class of nonlinearities for which a nonlocal parabolic equation with Neumann-Robin boundary conditions, for $p$-Laplacian, has finite time blow-up solutions.
math.CA↗
An Extension of Young's Inequality
Young's inequality is extended to the context of absolutely continuous measures. Several applications are included.
math.CA↗