3 papers
math.CA2018
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…
math.CA2017
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…
math.AP2016
A solution to the problem of Rasa connected with Bernstein polynomials
Jacek Mrowiec, Teresa Rajba, Szymon Wasowicz
During the Conference on Ulam's Type Stability (Rytro, Poland, 2014), Ioan Rasa recalled his 25-years-old problem concerning some inequality involving the Bernstein polynomials. We…