10 citations · 16 across the 21 of their papers we have counts for
Showing 2016 · math.FAShow all
2 papers · 2 filters
math.FA2016
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 \…
math.FA2016★ 1 cited
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…