3 citations · 4 across the 6 of their papers we have counts for
8 papers
Elementary function representations for the moments of the Meyer-König and Zeller operators
Ulrich Abel
We calculate the moments of the Meyer-König and Zeller operators in terms of elementary functions and polylogarithms.
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…
A problem of I. Raşa on Bernstein polynomials and convex functions
Ulrich Abel
We present an elementary proof of a conjecture by I. Raşa which is an inequality involving Bernstein basis polynomials and convex functions. It was affirmed in positive very recent…
An identity for derivatives
Ulrich Abel
We present a generalization of a formula of higher order derivatives and give a short proof.
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.
A solution to Open Problem 3.137 by O. Furdui on multiple factorial series
Ulrich Abel
In this paper we give a closed expression for a multiple factorial series, solving Open Problem 3.137 in a recent book by O. Furdui. The method is based on properties of divided di…