1 citations · 1 across the 7 of their papers we have counts for
7 papers
The Perimeter Winternitz Theorem in a Triangle
Allan Berele, Stefan Catoiu
A variable line through the centroid G of a triangle divides the triangle into two parts each of whose lengths as a fraction of the perimeter fills a closed interval [m,1-m], with…
Gaussian Riemann Derivatives
J. M. Ash, S. Catoiu, H. Fejzic
J. Marcinkiewicz and A. Zygmund proved in 1936 that, for all functions and points , the existence of the th Peano derivative is equivalent to the existence o…
A Generalization of the GGR Conjecture
S. Catoiu, H. Fejzic
For each positive integer , function , and point , the GGR Theorem states that is times Peano differentiable at if and only if is times Peano differe…
Counterexamples to the Gaussian vs. MZ derivatives Conjecture
J. Marshall Ash, Stefan Catoiu
J. Marcinkiewicz and A. Zygmund proved in 1936 that the special -th generalized Riemann derivative with nodes , is equivalent to the …
Two Pointwise Characterizations of the Peano Derivative
J. Marshall Ash, Stefan Catoiu, Hajrudin Fejzić
We provide the first two examples of sets of generalized Riemann derivatives of orders up to , , whose simultaneous existence for all functions~ at~ is equivalent…
Shapovalov Elements For $U_q(\mathfrak{sl}(N+1))
Stefan Catoiu, Ian M. Musson
For a simple Lie algebra, Shapovalov elements give rise to highest weight vectors in Verma modules. The usual construction of these elements uses induction on the length of a certa…
The classification of generalized Riemann derivatives
J. Marshall Ash, Stefan Catoiu, William Chin
We characterize all pairs , of generalized Riemann differences for which -differentiability implies -differentiability. Two ge…