2 citations · 2 across the 7 of their papers we have counts for
7 papers
A survey of the Hornich-Hlawka inequality
Dan-Ştefan Marinescu, Constantin P. Niculescu
In this survey, we review the many faces of the Hornich-Hlawka inequality. Several open problems that seem of utmost interest are mentioned.
Old and new on the 3-convex functions
Dan-Ştefan Marinescu, Constantin P. Niculescu
The present paper aims to survey known results and to point out the wealth of rather important open problems that are out there.
Nonlinear operator extensions of Korovkin's theorems
Sorin G. Gal, Constantin P. Niculescu
In this paper we extend Korovkin's theorem to the context of sequences of weakly nonlinear and monotone operators defined on certain Banach function spaces. Several examples illust…
The Hornich-Hlawka functional inequality for functions with positive differences
Constantin P. Niculescu, Suvrit Sra
We analyze the role played by -convexity for the fulfillment of a series of linear functional inequalities that extend the Hornich-Hlawka functional inequality, $f\left( x\right…
Korovkin type theorems for weakly nonlinear and monotone operators
Sorin G. Gal, Constantin P. Niculescu
In this paper we prove analogues of Korovkin's theorem in the context of weakly nonlinear and monotone operators acting on Banach lattices of functions of several variables. Our re…
Relative Convexity and Its Applications
Constantin P. Niculescu, Ionel Roventa
We discuss a rather general condition under which the inequality of Jensen works for certain convex combinations of points not all in the domain of convexity of the function under…