2 citations · 3 across the 6 of their papers we have counts for
7 papers
Iterated harmonic numbers
J Marshall Ash, Michael Ash, Rafael Ash +1
The harmonic numbers are the sequence 1, 1+1/2, 1+1/2+1/3, ... Their asymptotic difference from the sequence of the natural logarithm of the positive integers is Euler's constant g…
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 New Proof of the GGR Conjecture
J. M. Ash, S. Catoiu, H Fejzic
For each positive integer , function , and point , the 1998 conjecture by Ghinchev, Guerragio, and Rocca states that the existence of the -th Peano derivative $f_{(n)}(…
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…
Exponential sums with coefficients 0 or 1 and concentrated L^{p} norms
Bruce Anderson, J. Marshall Ash, Roger Jones +2
Let f be a sum of exponentials of the form exp(2 pi i N x), where the N are distinct integers. We call f an idempotent trigonometric polynomial (because the convolution of f with i…
Constructing a quadrilateral inside another one
J. M. Ash, M. A. Ash, P. F. Ash
Connect each vertex of a convex quadrilateral Q to the midpoint of the next (proceeding counterclockwise) side. The four connecting lines create an interior quadrilateral I. We stu…