27 citations · 95 across the 19 of their papers we have counts for
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math.CA2012★ 1 cited
New Jensen-type inequalities
Constantin P. Niculescu, Cătălin Irinel Spiridon
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.MG2012★ 2 cited
Majorization in spaces with a curved geometry
Constantin P. Niculescu, Ionel Roventa
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 a…
math.CA2012★ 6 cited
Some open problems concerning the convergence of positive series
Constantin P. Niculescu, Gabriel T. Prajitura
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.