10 citations · 16 across the 21 of their papers we have counts for
4 papers · 1 filter
On a theorem of Nikol'skii
Asuman G. Aksoy, Qidi Peng
We present Bernstein lethargy theorem and examine the relationship between Bernstein lethargy theorem and reflexivity.
Bernstein Lethargy Theorem and Reflexivity
Asuman Güven Aksoy, Qidi Peng
In this paper, we prove the equivalence of reflexive Banach spaces and those Banach spaces which satisfy the following form of Bernstein's Lethargy Theorem. Let be an arbitrary…
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…