1 citations · 1 across the 10 of their papers we have counts for
11 papers
On Popoviciu's concept of convexity for functions of variables
Andrzej Komisarski, Teresa Rajba
We establish an integral representation for Popoviciu's convex functions of variables. This representation serves as a~foundation for deriving several functional inequalities,…
Convex order for convolution polynomials of Borel measures
Andrzej Komisarski, Teresa Rajba
We give necessary and sufficient conditions for Borel measures to satisfy the inequality introduced by Komisarski, Rajba (2018). This inequality is a generalization of the convex o…
A sharpening of a problem on Bernstein polynomials and convex function and related results
Andrzej Komisarski, Teresa Rajba
We present a short proof of a conjecture proposed by I. Raşa (2017), which is an inequality involving basic Bernstein polynomials and convex functions. This proof was given in the…
Muirhead inequality for convex orders and a problem of I. Raşa on Bernstein polynomials
Andrzej Komisarski, Teresa Rajba
We present a new, very short proof of a conjecture by I. Raşa, which is an inequality involving basic Bernstein polynomials and convex functions. It was affirmed positively very re…
On some recent applications of stochastic convex ordering theorems to some functional inequalities for convex functions - a survey
Teresa Rajba
This is a survey paper concerning some theorems on stochastic convex ordering and their applications to functional inequalities for convex functions. We present the recent results…
On the classes of higher-order Jensen-convex functions and Wright-convex functions, II
Jacek Mrowiec, Teresa Rajba, Szymon Wąsowicz
Recently Nikodem, Rajba and Wąsowicz compared the classes of n-Wright-convex functions and n-Jensen-convex functions by showing that the first one is a proper subclass of the latte…