3 papers
math.CA2017
A sharpening of a problem on Bernstein polynomials and convex functions
Ulrich Abel, Ioan Rasa
We present an elementary proof of a conjecture proposed by I. Rasa in 2017 which is an inequality involving Bernstein basis polynomials and convex functions. It was affirmed in pos…
math.CA2016
An identity for derivatives
Ulrich Abel
We present a generalization of a formula of higher order derivatives and give a short proof.
math.CO2016
New proofs of Melzak's identity
Ulrich Abel, Henry W. Gould, Jocelyn Quaintance
In their recent book on combinatorial identities, Quaintance and Gould devoted one chapter to Melzak's identity. We give new proofs for this identity and its generalization.