7 citations · 7 across the 5 of their papers we have counts for
5 papers
Measuring the Infinite: Interpolation Theory, Lorentz Spaces, and Dispersive PDEs
Asuman Güven Aksoy, Daniel Akech Thiong
This article explores the vital role of interpolation theory and Lorentz spaces in the rigorous analysis of linear operators. While classical Lebesgue spaces () successfully…
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.
On Montel and Montel-Popoviciu theorems in several variables
A. G. Aksoy, J. M. Almira
We present an elementary proof of a general version of Montel's theorem in several variables which is based on the use of tensor product polynomial interpolation. We also prove a M…
On approximation schemes and compactness
A. G. Aksoy, J. M. Almira
We present an overview of some results about characterization of compactness in which the concept of approximation scheme has had a role. In particular, we present several results…
On Shapiro's lethargy theorem and some applications
A. G. Aksoy, J. M. Almira
Shapiro's lethargy theorem states that if {A_n} is any non-trivial linear approximation scheme on a Banach space X, then the sequences of errors of best approximation E(x,A_n) = \i…