10 citations · 16 across the 21 of their papers we have counts for
4 papers · 1 filter
Subspace Condition for Bernstein's Lethargy Theorem
Asuman GÜven Aksoy, Monairah Al-Ansari, Caleb Case +1
In this paper, we consider a condition on subspaces in order to improve bounds given in the Bernstein's Lethargy Theorem (BLT) for Banach spaces. Let $d_1 \geq d_2 \geq \dots d_n \…
Constructing an Element of a Banach Space with Given Deviation from its Nested Subspaces
Asuman G. Aksoy, Qidi Peng
This paper contains two improvements on a theorem of S. N. Bernstein for Banach spaces. We show that if is an arbitrary infinite-dimensional Banach space, is a sequen…
A New Algorithm to Simulate the First Exit Times of a Vector of Brownian Motions, with an Application to Finance
Chiu-Yen Kao, Qidi Peng, Henry Schellhorn +1
We provide a new methodology to simulate the first exit times of a vector of Brownian motions from an orthant. This new approach can be used to simulate the first exit times of dim…
Representation Theorems of -trees and Brownian Motions Indexed by -trees
Asuman G. Aksoy, Monariah Al-Ansari, Qidi Peng
We provide a new representation of an -tree by using a special set of metric rays. We have captured the four-point condition from these metric rays and shown an equivale…